146:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Derivadas:@0.073089:0.043661:0.163191:0.043661:0.163191:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.       = (:@0.293660:0.136836:0.356521:0.136836:0.356521:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.325431:0.136836:0.332904:0.136836:0.332904:0.120430:0.325431:0.120430:0.000000
tanx:@0.356410:0.136836:0.387776:0.136836:0.387776:0.120430:0.356410:0.120430:0.000000:0.000000:0.000000:0.000000
)  :@0.387740:0.136836:0.414937:0.136836:0.414937:0.120402:0.387740:0.120402:0.000000:0.000000:0.000000
tanx:@0.392551:0.130772:0.410966:0.130772:0.410966:0.121191:0.392551:0.121191:0.000000:0.000000:0.000000:0.000000
Para hallar la derivada, es imperativo aplicar logaritmos a ambos lados de la igualdad, :@0.323781:0.164199:0.931220:0.164199:0.931220:0.147766:0.323781:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puesto que no estamos derivando una polinómica o exponencial. Aplicamos las :@0.323781:0.180841:0.931075:0.180841:0.931075:0.164407:0.323781:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de los logaritmos::@0.323781:0.197483:0.547617:0.197483:0.547617:0.181049:0.323781:0.181049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lny :@0.323781:0.224845:0.347637:0.224845:0.347637:0.208439:0.323781:0.208439:0.000000:0.000000:0.000000:0.000000
= ln(:@0.347600:0.224845:0.380954:0.224845:0.380954:0.208411:0.347600:0.208411:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.380844:0.224845:0.412210:0.224845:0.412210:0.208439:0.380844:0.208439:0.000000:0.000000:0.000000:0.000000
)   :@0.412173:0.224845:0.443422:0.224846:0.443422:0.208412:0.412173:0.208411:0.000000:0.000000:0.000000:0.000000
tanx:@0.416957:0.218783:0.435372:0.218783:0.435372:0.209201:0.416957:0.209201:0.000000:0.000000:0.000000:0.000000
lny = :@0.323774:0.241488:0.364116:0.241488:0.364116:0.225054:0.323774:0.225054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.364013:0.241488:0.395379:0.241488:0.395379:0.225082:0.364013:0.225082:0.000000:0.000000:0.000000:0.000000
 . ln(:@0.395342:0.241488:0.424885:0.241488:0.424885:0.225054:0.395342:0.225054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.424775:0.241488:0.456141:0.241488:0.456141:0.225082:0.424775:0.225082:0.000000:0.000000:0.000000:0.000000
) :@0.456086:0.241488:0.464921:0.241488:0.464921:0.225054:0.456086:0.225054:0.000000:0.000000
Ahora, derivamos un producto:@0.635023:0.241488:0.857675:0.241488:0.857675:0.225054:0.635023:0.225054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.329133:0.272935:0.338115:0.272935:0.338115:0.256501:0.329133:0.256501:0.000000
y:@0.329887:0.289327:0.337361:0.289327:0.337361:0.272921:0.329887:0.272921:0.000000
 y:@0.343380:0.280673:0.354093:0.280673:0.354093:0.264267:0.343380:0.264267:0.000000:0.000000
' = :@0.354038:0.280673:0.376126:0.280673:0.376126:0.264240:0.354038:0.264240:0.000000:0.000000:0.000000:0.000000
sec:@0.376016:0.280673:0.397681:0.280673:0.397681:0.264267:0.376016:0.264267:0.000000:0.000000:0.000000
2:@0.397641:0.274603:0.402878:0.274603:0.402878:0.265022:0.397641:0.265022:0.000000
 x . ln(:@0.402830:0.280667:0.444154:0.280667:0.444154:0.264233:0.402830:0.264233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.444026:0.280667:0.475392:0.280667:0.475392:0.264261:0.444026:0.264261:0.000000:0.000000:0.000000:0.000000
) + :@0.475355:0.280667:0.499045:0.280667:0.499045:0.264233:0.475355:0.264233:0.000000:0.000000:0.000000:0.000000
sec x:@0.516682:0.272531:0.553530:0.272531:0.553530:0.256098:0.516682:0.256098:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.540443:0.266468:0.545680:0.266468:0.545680:0.256887:0.540443:0.256887:0.000000
tanx.tanx:@0.502119:0.289173:0.568035:0.289173:0.568035:0.272767:0.502119:0.272767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.571196:0.280667:0.575228:0.280667:0.575228:0.264233:0.571196:0.264233:0.000000
y:@0.635031:0.280667:0.642504:0.280667:0.642504:0.264261:0.635031:0.264261:0.000000
' =  . :@0.642431:0.280667:0.682227:0.280667:0.682227:0.264233:0.642431:0.264233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  sec:@0.664409:0.280667:0.703801:0.280667:0.703801:0.264261:0.664409:0.264261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.703765:0.274603:0.709002:0.274603:0.709002:0.265022:0.703765:0.265022:0.000000
 x . [ln(:@0.708955:0.280667:0.755083:0.280667:0.755083:0.264233:0.708955:0.264233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.754954:0.280667:0.786320:0.280667:0.786320:0.264261:0.754954:0.264261:0.000000:0.000000:0.000000:0.000000
)+1]  :@0.786283:0.280667:0.823832:0.280667:0.823832:0.264233:0.786283:0.264233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.     (:@0.293668:0.322327:0.330373:0.322327:0.330373:0.305893:0.293668:0.305893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seny:@0.330244:0.322327:0.361149:0.322327:0.361149:0.305921:0.330244:0.305921:0.000000:0.000000:0.000000:0.000000
):@0.361113:0.322327:0.365991:0.322327:0.365991:0.305893:0.361113:0.305893:0.000000
cosy :@0.365892:0.316261:0.387290:0.316261:0.387290:0.306680:0.365892:0.306680:0.000000:0.000000:0.000000:0.000000:0.000000
= (:@0.387226:0.322325:0.406958:0.322325:0.406958:0.305891:0.387226:0.305891:0.000000:0.000000:0.000000
senx:@0.406866:0.322325:0.437754:0.322325:0.437754:0.305919:0.406866:0.305919:0.000000:0.000000:0.000000:0.000000
):@0.437717:0.322325:0.442595:0.322325:0.442595:0.305891:0.437717:0.305891:0.000000
cosx:@0.442505:0.316261:0.461478:0.316261:0.461478:0.306680:0.442505:0.306680:0.000000:0.000000:0.000000:0.000000
ln(:@0.635034:0.322325:0.653534:0.322325:0.653534:0.305891:0.635034:0.305891:0.000000:0.000000:0.000000
seny:@0.653435:0.322325:0.684341:0.322325:0.684341:0.305919:0.653435:0.305919:0.000000:0.000000:0.000000:0.000000
):@0.684304:0.322325:0.689182:0.322325:0.689182:0.305891:0.684304:0.305891:0.000000
cosy :@0.689093:0.316261:0.710492:0.316261:0.710492:0.306680:0.689093:0.306680:0.000000:0.000000:0.000000:0.000000:0.000000
= ln(:@0.710429:0.322325:0.743783:0.322325:0.743783:0.305891:0.710429:0.305891:0.000000:0.000000:0.000000:0.000000:0.000000
senx:@0.743672:0.322325:0.774560:0.322325:0.774560:0.305919:0.743672:0.305919:0.000000:0.000000:0.000000:0.000000
):@0.774523:0.322325:0.779401:0.322325:0.779401:0.305891:0.774523:0.305891:0.000000
cosx:@0.779312:0.316261:0.798285:0.316261:0.798285:0.306680:0.779312:0.306680:0.000000:0.000000:0.000000:0.000000
cosy :@0.323781:0.349688:0.357345:0.349688:0.357345:0.333282:0.323781:0.333282:0.000000:0.000000:0.000000:0.000000:0.000000
. ln(:@0.357301:0.349688:0.382887:0.349688:0.382887:0.333254:0.357301:0.333254:0.000000:0.000000:0.000000:0.000000:0.000000
seny:@0.382776:0.349688:0.413682:0.349688:0.413682:0.333282:0.382776:0.333282:0.000000:0.000000:0.000000:0.000000
) = :@0.413645:0.349688:0.437335:0.349688:0.437335:0.333254:0.413645:0.333254:0.000000:0.000000:0.000000:0.000000
cosx :@0.437225:0.349688:0.470833:0.349688:0.470833:0.333282:0.437225:0.333282:0.000000:0.000000:0.000000:0.000000:0.000000
. ln(:@0.470781:0.349688:0.496367:0.349688:0.496367:0.333254:0.470781:0.333254:0.000000:0.000000:0.000000:0.000000:0.000000
senx:@0.496257:0.349688:0.527144:0.349688:0.527144:0.333282:0.496257:0.333282:0.000000:0.000000:0.000000:0.000000
) :@0.527101:0.349688:0.535936:0.349688:0.535936:0.333254:0.527101:0.333254:0.000000:0.000000
derivando y despejando:@0.635023:0.349688:0.811198:0.349688:0.811198:0.333254:0.635023:0.333254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.3 Derivadas de funciones trigonométricas inversas:@0.293660:0.499234:0.703380:0.499234:0.703380:0.482287:0.293660:0.482287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que si  = :@0.293660:0.531755:0.461497:0.531755:0.461497:0.515321:0.293660:0.515321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  sen x  arc senx:@0.435911:0.531755:0.578598:0.531755:0.578598:0.515348:0.435911:0.515348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-1:@0.484860:0.525691:0.493252:0.525691:0.493252:0.516110:0.484860:0.516110:0.000000:0.000000
  = :@0.493200:0.531755:0.522725:0.531755:0.522725:0.515321:0.493200:0.515321:0.000000:0.000000:0.000000:0.000000
  significa que :@0.578573:0.531755:0.681795:0.531755:0.681795:0.515321:0.578573:0.515321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seny = x:@0.681616:0.531755:0.737280:0.531755:0.737280:0.515348:0.681616:0.515348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con – :@0.737262:0.531755:0.785986:0.531755:0.785986:0.515321:0.737262:0.515321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.791183:0.523469:0.803461:0.523469:0.803461:0.509753:0.791183:0.509753:0.000000
2:@0.792840:0.540416:0.801822:0.540416:0.801822:0.523982:0.792840:0.523982:0.000000
 ≤ y ≤ :@0.808707:0.531762:0.854430:0.531762:0.854430:0.515328:0.808707:0.515328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.859205:0.522575:0.871482:0.522575:0.871482:0.508859:0.859205:0.508859:0.000000
2:@0.860861:0.539522:0.869844:0.539522:0.869844:0.523088:0.860861:0.523088:0.000000
Derivemos :@0.293660:0.562696:0.376213:0.562696:0.376213:0.546262:0.293660:0.546262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seny  x:@0.376088:0.562696:0.432488:0.562696:0.432488:0.546290:0.376088:0.546290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=   con respecto a  ::@0.410196:0.562696:0.557951:0.562696:0.557951:0.546262:0.410196:0.546262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.547367:0.562696:0.554822:0.562696:0.554822:0.546290:0.547367:0.546290:0.000000
cosy  y :@0.293642:0.598739:0.344943:0.598739:0.344943:0.582333:0.293642:0.582333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.  ' = 1, entonces y ' = :@0.327161:0.598739:0.488365:0.598739:0.488365:0.582305:0.327161:0.582305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.492564:0.591001:0.509222:0.591001:0.509222:0.574595:0.492564:0.574595:0.000000:0.000000
dx:@0.492564:0.607393:0.509204:0.607393:0.509204:0.590987:0.492564:0.590987:0.000000:0.000000
 = :@0.513548:0.598739:0.532434:0.598739:0.532434:0.582305:0.513548:0.582305:0.000000:0.000000:0.000000
1:@0.547521:0.590162:0.556504:0.590162:0.556504:0.573728:0.547521:0.573728:0.000000
cosy:@0.536845:0.606555:0.567169:0.606555:0.567169:0.590148:0.536845:0.590148:0.000000:0.000000:0.000000:0.000000
.:@0.571598:0.598733:0.574801:0.598733:0.574801:0.582299:0.571598:0.582299:0.000000
Teniendo en cuenta que :@0.293648:0.636815:0.475026:0.636815:0.475026:0.620381:0.293648:0.620381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen y  cos  y:@0.474794:0.636815:0.571663:0.636816:0.571663:0.620410:0.474794:0.620409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.498262:0.630752:0.503499:0.630752:0.503499:0.621171:0.498262:0.621171:0.000000
  + :@0.503451:0.636816:0.532995:0.636816:0.532995:0.620382:0.503451:0.620382:0.000000:0.000000:0.000000:0.000000
2:@0.555761:0.630752:0.560998:0.630752:0.560998:0.621171:0.555761:0.621171:0.000000
 = 1 despejando a cosy:@0.571608:0.636816:0.738359:0.636816:0.738359:0.620382:0.571608:0.620382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, sustituyendo:@0.438905:0.667754:0.540248:0.667754:0.540248:0.651320:0.438905:0.651320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De igual manera, y como otro ejemplo, encontremos la derivada de :@0.293660:0.754028:0.787287:0.754028:0.787287:0.737594:0.293660:0.737594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.293660:0.786549:0.304373:0.786549:0.304373:0.770142:0.293660:0.770142:0.000000:0.000000
= sec   = :@0.304318:0.786549:0.380780:0.786549:0.380780:0.770115:0.304318:0.770115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-1:@0.342915:0.780485:0.351307:0.780485:0.351307:0.770904:0.342915:0.770904:0.000000:0.000000
x  arc secx:@0.355212:0.786549:0.434813:0.786549:0.434813:0.770142:0.355212:0.770142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  significa que :@0.434787:0.786549:0.538009:0.786549:0.538009:0.770115:0.434787:0.770115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secy  x:@0.537831:0.786549:0.592629:0.786549:0.592629:0.770142:0.537831:0.770142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=   con 0 ≤ y ≤ :@0.570338:0.786549:0.682751:0.786549:0.682751:0.770115:0.570338:0.770115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.687913:0.777369:0.700191:0.777369:0.700191:0.763653:0.687913:0.763653:0.000000
2:@0.689570:0.794316:0.698553:0.794316:0.698553:0.777882:0.689570:0.777882:0.000000
Derivamos con respecto a :@0.293667:0.816394:0.486875:0.816394:0.486875:0.799960:0.293667:0.799960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x, secy tany:@0.486667:0.816394:0.572242:0.816394:0.572242:0.799988:0.486667:0.799988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 . :@0.529832:0.816394:0.540950:0.816394:0.540950:0.799960:0.529832:0.799960:0.000000:0.000000:0.000000
 . :@0.572205:0.816394:0.583323:0.816394:0.583323:0.799960:0.572205:0.799960:0.000000:0.000000:0.000000
dy:@0.587602:0.810445:0.604261:0.810445:0.604261:0.794039:0.587602:0.794039:0.000000:0.000000
dx:@0.587602:0.826837:0.604242:0.826837:0.604242:0.810431:0.587602:0.810431:0.000000:0.000000
 = 1  :@0.608586:0.816394:0.644442:0.816394:0.644442:0.799960:0.608586:0.799960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despejando :@0.293657:0.849719:0.385815:0.849719:0.385815:0.833286:0.293657:0.833286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y utilizando la identidad :@0.521756:0.849709:0.703436:0.849709:0.703436:0.833276:0.521756:0.833276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sec:@0.703170:0.849709:0.724835:0.849709:0.724835:0.833303:0.703170:0.833303:0.000000:0.000000:0.000000
2:@0.724783:0.843645:0.730020:0.843645:0.730020:0.834065:0.724783:0.834065:0.000000
 y –:@0.729972:0.849709:0.755117:0.849709:0.755117:0.833276:0.729972:0.833276:0.000000:0.000000:0.000000:0.000000
tan y :@0.755006:0.849709:0.798807:0.849709:0.798807:0.833303:0.755006:0.833303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.778947:0.843645:0.784184:0.843645:0.784184:0.834065:0.778947:0.834065:0.000000
  = 1 :@0.784136:0.849709:0.826620:0.849709:0.826620:0.833276:0.784136:0.833276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
despejamos a :@0.293675:0.884213:0.398136:0.884213:0.398136:0.867780:0.293675:0.867780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y sustituimos:@0.541802:0.884220:0.641090:0.884220:0.641090:0.867786:0.541802:0.867786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En estudios del cuerpo :@0.079392:0.274138:0.233990:0.274138:0.233990:0.259198:0.079392:0.259198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
humano, como el análisis :@0.079392:0.289267:0.249973:0.289267:0.249973:0.274327:0.079392:0.274327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del movimiento de :@0.079392:0.304396:0.209135:0.304396:0.209135:0.289456:0.079392:0.289456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las articulaciones, las :@0.079392:0.319524:0.218715:0.319524:0.218715:0.304585:0.079392:0.304585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones trigonométricas :@0.079392:0.334653:0.256974:0.334653:0.256974:0.319714:0.079392:0.319714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversas ayudan a modelar :@0.079392:0.349782:0.258226:0.349782:0.258226:0.334843:0.079392:0.334843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo los músculos y :@0.079392:0.364911:0.221748:0.364911:0.221748:0.349971:0.079392:0.349971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
huesos trabajan juntos :@0.079392:0.380040:0.232668:0.380040:0.232668:0.365100:0.079392:0.365100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ciertos ángulos. Las :@0.079392:0.395169:0.231615:0.395169:0.231615:0.380229:0.079392:0.380229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivadas son útiles :@0.079392:0.410298:0.212554:0.410298:0.212554:0.395358:0.079392:0.395358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para estudiar cómo la :@0.079392:0.425427:0.225747:0.425427:0.225747:0.410487:0.079392:0.410487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad o la fuerza de :@0.079392:0.440556:0.239037:0.440556:0.239037:0.425616:0.079392:0.425616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un movimiento afectan :@0.079392:0.455685:0.237954:0.455685:0.237954:0.440745:0.079392:0.440745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la posición de una :@0.079392:0.470814:0.203441:0.470814:0.203441:0.455874:0.079392:0.455874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
articulación, por ejemplo :@0.079392:0.485943:0.247928:0.485943:0.247928:0.471003:0.079392:0.471003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en estas áreas de la :@0.079392:0.501072:0.209559:0.501072:0.209559:0.486132:0.079392:0.486132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
biomecánica::@0.079392:0.516201:0.167613:0.516201:0.167613:0.501261:0.079392:0.501261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Cinemática de las :@0.079392:0.536690:0.218045:0.536690:0.218045:0.521750:0.079392:0.521750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
articulaciones:@0.098366:0.551819:0.189810:0.551819:0.189810:0.536879:0.098366:0.536879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Rendimiento deportivo:@0.079392:0.572309:0.252893:0.572309:0.252893:0.557369:0.079392:0.557369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Diseño de prótesis y :@0.079392:0.592799:0.234936:0.592799:0.234936:0.577859:0.079392:0.577859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exoesqueletos:@0.098366:0.607927:0.193870:0.607927:0.193870:0.592988:0.098366:0.592988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Rehabilitación:@0.079392:0.628417:0.192086:0.628417:0.192086:0.613477:0.079392:0.613477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos aspectos contribuyen :@0.079390:0.751352:0.262437:0.751352:0.262437:0.736413:0.079390:0.736413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a mejorar la salud, el :@0.079390:0.766481:0.216584:0.766481:0.216584:0.751541:0.079390:0.751541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rendimiento físico y la :@0.079390:0.781610:0.227756:0.781610:0.227756:0.766670:0.079390:0.766670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calidad de vida mediante :@0.079390:0.796739:0.249567:0.796739:0.249567:0.781799:0.079390:0.781799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelos matemáticos :@0.079390:0.811868:0.231093:0.811868:0.231093:0.796928:0.079390:0.796928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisos.:@0.079390:0.826997:0.136021:0.826997:0.136021:0.812057:0.079390:0.812057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.078570:0.213821:0.201979:0.213821:0.201979:0.198415:0.078570:0.198415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078570:0.228950:0.164063:0.228950:0.164063:0.214010:0.078570:0.214010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y biomecánica:@0.078570:0.244079:0.174840:0.244079:0.174840:0.229139:0.078570:0.229139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000