148:@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 En los siguientes ejercicios, simplifica previamente o :@0.073089:0.136836:0.489825:0.136836:0.489825:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aplica propiedades para determinar la derivada de la :@0.073089:0.153478:0.489647:0.153478:0.489647:0.137044:0.073089:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 función dada con respecto a x.:@0.073089:0.170120:0.295224:0.170120:0.295224:0.153686:0.073089:0.153686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. ( ) = (2:@0.073089:0.197483:0.179324:0.197483:0.179324:0.180814:0.073089:0.180814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.197483:0.123918:0.197483:0.123918:0.180800:0.105511:0.180800:0.000000:0.000000:0.000000 ln x:@0.147534:0.197483:0.187368:0.197483:0.187368:0.180800:0.147534:0.180800:0.000000:0.000000:0.000000:0.000000:0.000000 3 :@0.187303:0.191419:0.195040:0.191419:0.195040:0.181701:0.187303:0.181701:0.000000:0.000000 –:@0.194992:0.197483:0.204196:0.197483:0.204196:0.181049:0.194992:0.181049:0.000000 1) :@0.204122:0.197483:0.226524:0.197483:0.226524:0.180814:0.204122:0.180814:0.000000:0.000000:0.000000:0.000000 2. ( ) = ln (:@0.073089:0.249862:0.171022:0.249862:0.171022:0.233192:0.073089:0.233192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.249862:0.123918:0.249862:0.123918:0.233179:0.105511:0.233179:0.000000:0.000000:0.000000 senx:@0.170912:0.249862:0.203794:0.249862:0.203794:0.233179:0.170912:0.233179:0.000000:0.000000:0.000000:0.000000 ) :@0.203732:0.249862:0.216764:0.249862:0.216764:0.233192:0.203732:0.233192:0.000000:0.000000:0.000000 3. ( ) = :@0.073089:0.302242:0.159554:0.302242:0.159554:0.285573:0.073089:0.285573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.302242:0.123918:0.302242:0.123918:0.285559:0.105511:0.285559:0.000000:0.000000:0.000000 x:@0.147534:0.302242:0.155652:0.302242:0.155652:0.285559:0.147534:0.285559:0.000000 4. ( ) = (5:@0.073089:0.354621:0.176047:0.354621:0.176047:0.337952:0.073089:0.337952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.354621:0.123918:0.354621:0.123918:0.337938:0.105511:0.337938:0.000000:0.000000:0.000000 ln x :@0.147534:0.354621:0.187368:0.354621:0.187368:0.337938:0.147534:0.337938:0.000000:0.000000:0.000000:0.000000:0.000000 – :@0.187313:0.354621:0.200474:0.354621:0.200474:0.338187:0.187313:0.338187:0.000000:0.000000 1):@0.200382:0.354621:0.214979:0.354621:0.214979:0.337952:0.200382:0.337952:0.000000:0.000000 2:@0.214890:0.348557:0.220396:0.348557:0.220396:0.338839:0.214890:0.338839:0.000000 5. ( ) = (:@0.073089:0.407001:0.170507:0.407001:0.170507:0.390332:0.073089:0.390332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.407001:0.123918:0.407001:0.123918:0.390318:0.105511:0.390318:0.000000:0.000000:0.000000 ln senx cosx:@0.147534:0.407001:0.246113:0.407001:0.246113:0.390318:0.147534:0.390318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . :@0.206548:0.407001:0.214187:0.407001:0.214187:0.390332:0.206548:0.390332:0.000000:0.000000 ) :@0.246050:0.407001:0.259082:0.407001:0.259082:0.390332:0.246050:0.390332:0.000000:0.000000:0.000000 6. ( ) = 2 3 ):@0.073089:0.459380:0.206010:0.459380:0.206010:0.442711:0.073089:0.442711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.459380:0.123918:0.459380:0.123918:0.442697:0.105511:0.442697:0.000000:0.000000:0.000000 x:@0.156904:0.459380:0.165021:0.459380:0.165021:0.442697:0.156904:0.442697:0.000000 –:@0.168776:0.459380:0.177980:0.459380:0.177980:0.442946:0.168776:0.442946:0.000000 x:@0.187276:0.459380:0.195393:0.459380:0.195393:0.442697:0.187276:0.442697:0.000000 3:@0.195322:0.453316:0.200827:0.453316:0.200827:0.443598:0.195322:0.443598:0.000000 7. ( ) = :@0.073089:0.511760:0.147627:0.511760:0.147627:0.495091:0.073089:0.495091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.511760:0.123918:0.511760:0.123918:0.495077:0.105511:0.495077:0.000000:0.000000:0.000000 arc ctg lnx:@0.147534:0.511760:0.223895:0.511760:0.223895:0.495077:0.147534:0.495077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.196774:0.511760:0.202002:0.511760:0.202002:0.495091:0.196774:0.495091:0.000000 ):@0.223833:0.511760:0.229060:0.511760:0.229060:0.495091:0.223833:0.495091:0.000000 8. ( ) = :@0.073089:0.564139:0.147627:0.564139:0.147627:0.547470:0.073089:0.547470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.564139:0.123918:0.564139:0.123918:0.547456:0.105511:0.547456:0.000000:0.000000:0.000000 arc sen e:@0.147534:0.564139:0.210161:0.564139:0.210161:0.547456:0.147534:0.547456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.210151:0.558075:0.215120:0.558075:0.215120:0.548357:0.210151:0.548357:0.000000 9. ( ) = :@0.073089:0.621435:0.147627:0.621435:0.147627:0.604766:0.073089:0.604766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.621435:0.123918:0.621435:0.123918:0.604752:0.105511:0.604752:0.000000:0.000000:0.000000 arc tan:@0.147534:0.621435:0.198786:0.621435:0.198786:0.604752:0.147534:0.604752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.198762:0.621435:0.206493:0.621435:0.206493:0.604766:0.198762:0.604766:0.000000:0.000000 :@0.254598:0.621435:0.258501:0.621435:0.258501:0.604766:0.254598:0.604766:0.000000 10. ( ) = :@0.073089:0.673814:0.147627:0.673814:0.147627:0.657144:0.073089:0.657144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.673814:0.123918:0.673814:0.123918:0.657131:0.105511:0.657131:0.000000:0.000000:0.000000 e:@0.147534:0.673814:0.155873:0.673814:0.155873:0.657131:0.147534:0.657131:0.000000 lnx :@0.155815:0.667750:0.171418:0.667750:0.171418:0.658032:0.155815:0.658032:0.000000:0.000000:0.000000:0.000000 . :@0.171366:0.673814:0.179005:0.673814:0.179005:0.657144:0.171366:0.657144:0.000000:0.000000 arc senx:@0.178931:0.673814:0.238011:0.673814:0.238011:0.657131:0.178931:0.657131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 11. ( ) = :@0.073089:0.726194:0.147627:0.726194:0.147627:0.709525:0.073089:0.709525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.726194:0.123918:0.726194:0.123918:0.709511:0.105511:0.709511:0.000000:0.000000:0.000000 e:@0.147534:0.726194:0.155873:0.726194:0.155873:0.709511:0.147534:0.709511:0.000000 arc cos:@0.155815:0.720130:0.186094:0.720130:0.186094:0.710412:0.155815:0.710412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12. ( ) = :@0.073089:0.783490:0.147627:0.783490:0.147627:0.766820:0.073089:0.766820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.783490:0.123918:0.783490:0.123918:0.766807:0.105511:0.766807:0.000000:0.000000:0.000000 13. ( ) = :@0.073089:0.841673:0.147627:0.841673:0.147627:0.825004:0.073089:0.825004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.105511:0.841673:0.123918:0.841673:0.123918:0.824990:0.105511:0.824990:0.000000:0.000000:0.000000 14. + :@0.073089:0.894052:0.147607:0.894052:0.147607:0.877383:0.073089:0.877383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.105511:0.894052:0.113849:0.894052:0.113849:0.877369:0.105511:0.877369:0.000000 x :@0.113782:0.887988:0.120983:0.887988:0.120983:0.878270:0.113782:0.878270:0.000000:0.000000 y lny :@0.135661:0.894052:0.172720:0.894052:0.172720:0.877369:0.135661:0.877369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1:@0.172659:0.894052:0.196828:0.894052:0.196828:0.877383:0.172659:0.877383:0.000000:0.000000:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15. + = :@0.514231:0.140410:0.607649:0.140410:0.607649:0.123741:0.514231:0.123741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.546653:0.140410:0.554770:0.140410:0.554770:0.123727:0.546653:0.123727:0.000000 2 :@0.554703:0.134347:0.562441:0.134347:0.562441:0.124628:0.554703:0.124628:0.000000:0.000000 y:@0.577118:0.140410:0.585236:0.140410:0.585236:0.123727:0.577118:0.123727:0.000000 2 :@0.585159:0.134347:0.592896:0.134347:0.592896:0.124628:0.585159:0.124628:0.000000:0.000000 arc tan x y:@0.607576:0.140410:0.695323:0.140410:0.695323:0.123727:0.607576:0.123727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( . ) :@0.658803:0.140410:0.708282:0.140410:0.708282:0.123741:0.658803:0.123741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16. :@0.514231:0.192789:0.549252:0.192789:0.549252:0.176120:0.514231:0.176120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 arc sen x y:@0.546653:0.192789:0.637051:0.192789:0.637051:0.176106:0.546653:0.176106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( + ) + :@0.597714:0.192789:0.660759:0.192789:0.660759:0.176120:0.597714:0.176120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.660667:0.192789:0.669006:0.192789:0.669006:0.176106:0.660667:0.176106:0.000000 xy :@0.668919:0.186726:0.681290:0.186726:0.681290:0.177007:0.668919:0.177007:0.000000:0.000000:0.000000 = - :@0.681242:0.192789:0.721179:0.192789:0.721179:0.176120:0.681242:0.176120:0.000000:0.000000:0.000000:0.000000:0.000000 y x:@0.695967:0.192789:0.729223:0.192789:0.729223:0.176106:0.695967:0.176106:0.000000:0.000000:0.000000 2 :@0.704010:0.186726:0.711747:0.186726:0.711747:0.177007:0.704010:0.177007:0.000000:0.000000 17. :@0.514231:0.245170:0.549252:0.245170:0.549252:0.228500:0.514231:0.228500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.546653:0.245170:0.554991:0.245170:0.554991:0.228486:0.546653:0.228486:0.000000 x+y :@0.554924:0.239106:0.573490:0.239106:0.573490:0.229387:0.554924:0.229387:0.000000:0.000000:0.000000:0.000000 + :@0.573435:0.245170:0.588235:0.245170:0.588235:0.228500:0.573435:0.228500:0.000000:0.000000 arctan x y:@0.588161:0.245170:0.672209:0.245170:0.672209:0.228486:0.588161:0.228486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( . ) = 1:@0.636204:0.245170:0.709115:0.245170:0.709115:0.228500:0.636204:0.228500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 18. :@0.514231:0.297548:0.549252:0.297548:0.549252:0.280879:0.514231:0.280879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.546653:0.297548:0.554991:0.297548:0.554991:0.280865:0.546653:0.280865:0.000000 x/y:@0.554924:0.291484:0.568543:0.291484:0.568543:0.281766:0.554924:0.281766:0.000000:0.000000:0.000000 + ( + ) = . :@0.568492:0.297548:0.669474:0.297548:0.669474:0.280879:0.568492:0.280879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.592182:0.297548:0.600300:0.297548:0.600300:0.280865:0.592182:0.280865:0.000000 y:@0.618762:0.297548:0.626880:0.297548:0.626880:0.280865:0.618762:0.280865:0.000000 x y:@0.650496:0.297548:0.677518:0.297548:0.677518:0.280865:0.650496:0.280865:0.000000:0.000000:0.000000:0.000000 19. :@0.514231:0.349927:0.549252:0.349927:0.549252:0.333258:0.514231:0.333258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.546653:0.349927:0.554991:0.349927:0.554991:0.333244:0.546653:0.333244:0.000000 x+y:@0.554924:0.343864:0.571258:0.343864:0.571258:0.334145:0.554924:0.334145:0.000000:0.000000:0.000000 + (x/y) = + :@0.571206:0.349927:0.667992:0.349927:0.667992:0.333258:0.571206:0.333258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.641853:0.349927:0.676036:0.349927:0.676036:0.333244:0.641853:0.333244:0.000000:0.000000:0.000000:0.000000 20. :@0.514231:0.402308:0.549252:0.402308:0.549252:0.385638:0.514231:0.385638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lny x arc tany e:@0.546653:0.402308:0.685201:0.402308:0.685201:0.385624:0.546653:0.385624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + :@0.573101:0.402308:0.599773:0.402308:0.599773:0.385638:0.573101:0.385638:0.000000:0.000000:0.000000:0.000000 = :@0.662137:0.402308:0.676936:0.402308:0.676936:0.385638:0.662137:0.385638:0.000000:0.000000 x:@0.685122:0.396244:0.690091:0.396244:0.690091:0.386525:0.685122:0.386525:0.000000 Trabajo colaborativo:@0.530451:0.454113:0.685911:0.454113:0.685911:0.437443:0.530451:0.437443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Formen grupos de tres a cuatro estudiantes.:@0.523717:0.474069:0.842518:0.474069:0.842518:0.457635:0.523717:0.457635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Cada estudiante investigará uno de los :@0.523717:0.501432:0.921409:0.501432:0.921409:0.484763:0.523717:0.484763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguientes temas::@0.553843:0.518074:0.685277:0.518074:0.685277:0.501405:0.553843:0.501405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Estudiante 1::@0.555261:0.542935:0.683212:0.542935:0.683212:0.526265:0.555261:0.526265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derivadas de funciones :@0.683092:0.542935:0.858764:0.542935:0.858764:0.526501:0.683092:0.526501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 exponenciales (e.g., ( ) = .:@0.585387:0.559577:0.787565:0.559577:0.787565:0.543143:0.585387:0.543143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.730215:0.559577:0.747094:0.559577:0.747094:0.543171:0.730215:0.543171:0.000000:0.000000:0.000000 a:@0.770600:0.559577:0.779859:0.559577:0.779859:0.543171:0.770600:0.543171:0.000000 x:@0.779806:0.553513:0.784410:0.553513:0.784410:0.543932:0.779806:0.543932:0.000000 b. Estudiante 2::@0.555261:0.584439:0.683212:0.584439:0.683212:0.567769:0.555261:0.567769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derivadas de funciones :@0.683092:0.584439:0.858764:0.584439:0.858764:0.568005:0.683092:0.568005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 logarítmicas (p. ej.,, ( ) = log ( ).:@0.585387:0.601080:0.817487:0.601080:0.817487:0.584647:0.585387:0.584647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.725319:0.601080:0.742198:0.601080:0.742198:0.584674:0.725319:0.584674:0.000000:0.000000:0.000000 a:@0.789188:0.600826:0.793396:0.600826:0.793396:0.592552:0.789188:0.592552:0.000000 x:@0.802099:0.601080:0.809554:0.601080:0.809554:0.584674:0.802099:0.584674:0.000000 c. Estudiante 3: :@0.555261:0.625942:0.687041:0.625942:0.687041:0.609273:0.555261:0.609273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derivadas de funciones :@0.686921:0.625942:0.858637:0.625942:0.858637:0.609508:0.686921:0.609508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 trigonométricas inversas (e.g., ( ) = :@0.585387:0.642584:0.843567:0.642584:0.843567:0.626150:0.585387:0.626150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.803071:0.642584:0.819950:0.642584:0.819950:0.626178:0.803071:0.626178:0.000000:0.000000:0.000000 arcsen x:@0.843456:0.642584:0.901016:0.642584:0.901016:0.626178:0.843456:0.626178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ).:@0.888757:0.642584:0.908949:0.642584:0.908949:0.626150:0.888757:0.626150:0.000000:0.000000:0.000000:0.000000 2. Cada estudiante presentará su tema e incluirá lo :@0.523717:0.673520:0.921449:0.673520:0.921449:0.656851:0.523717:0.656851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguiente::@0.553843:0.690162:0.627886:0.690162:0.627886:0.673493:0.553843:0.673493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Definición de la función.:@0.555262:0.715024:0.761411:0.715024:0.761411:0.698590:0.555262:0.698590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Derivada de la función.:@0.555262:0.739886:0.751908:0.739886:0.751908:0.723452:0.555262:0.723452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Ejemplos de aplicación práctica en la vida real.:@0.555262:0.764746:0.917692:0.764746:0.917692:0.748313:0.555262:0.748313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad indagatoria:@0.526505:0.804330:0.689866:0.804330:0.689866:0.787661:0.526505:0.787661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicios prácticos:@0.524904:0.830552:0.668166:0.830552:0.668166:0.813883:0.524904:0.813883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplica la derivada a un problema de la vida real (por :@0.524904:0.857914:0.919531:0.857914:0.919531:0.841480:0.524904:0.841480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ejemplo, velocidad en un movimiento, optimización :@0.524904:0.874556:0.919712:0.874556:0.919712:0.858122:0.524904:0.858122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de recursos, etc.).:@0.524904:0.891198:0.648444:0.891198:0.648444:0.874764:0.524904:0.874764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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