133:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico y variacional:@0.603971:0.043660:0.926928:0.043660:0.926928:0.024915:0.603971:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16. f( ) = :@0.073089:0.143675:0.160417:0.143675:0.160417:0.127241:0.073089:0.127241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.112825:0.143675:0.120280:0.143675:0.120280:0.127268:0.112825:0.127268:0.000000 x cot cot x:@0.143786:0.143675:0.217991:0.143675:0.217991:0.127268:0.143786:0.127268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.151196:0.137611:0.156433:0.137611:0.156433:0.128030:0.151196:0.128030:0.000000 = :@0.217976:0.143675:0.285549:0.143675:0.285549:0.127241:0.217976:0.127241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.257478:0.143675:0.266737:0.143675:0.266737:0.127268:0.257478:0.127268:0.000000 π:@0.295173:0.136836:0.304376:0.136836:0.304376:0.120430:0.295173:0.120430:0.000000 2:@0.295283:0.153228:0.304266:0.153228:0.304266:0.136795:0.295283:0.136795:0.000000 :@0.314096:0.143673:0.366501:0.143673:0.366501:0.127239:0.314096:0.127239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 17. f( ) = :@0.073089:0.213720:0.143897:0.213720:0.143897:0.197286:0.073089:0.197286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.112825:0.213720:0.120280:0.213720:0.120280:0.197314:0.112825:0.197314:0.000000 senx tanx:@0.143786:0.213720:0.209206:0.213720:0.209206:0.197314:0.143786:0.197314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.209206:0.213720:0.288633:0.213720:0.288633:0.197286:0.209206:0.197286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.260562:0.213720:0.269821:0.213720:0.269821:0.197314:0.260562:0.197314:0.000000 2:@0.293831:0.206882:0.302814:0.206882:0.302814:0.190448:0.293831:0.190448:0.000000 π:@0.302740:0.206882:0.311944:0.206882:0.311944:0.190476:0.302740:0.190476:0.000000 3:@0.298396:0.223274:0.307379:0.223274:0.307379:0.206840:0.298396:0.206840:0.000000 18. f( ) = – :@0.073089:0.284660:0.184127:0.284660:0.184127:0.268226:0.073089:0.268226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.112825:0.284660:0.120280:0.284660:0.120280:0.268254:0.112825:0.268254:0.000000 x x senx:@0.143786:0.284660:0.214941:0.284660:0.214941:0.268254:0.143786:0.268254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.174905:0.278596:0.180142:0.278596:0.180142:0.269015:0.174905:0.269015:0.000000 = :@0.214904:0.284660:0.290374:0.284660:0.290374:0.268226:0.214904:0.268226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.262303:0.284660:0.271561:0.284660:0.271561:0.268254:0.262303:0.268254:0.000000 π:@0.300001:0.276928:0.309204:0.276928:0.309204:0.260522:0.300001:0.260522:0.000000 3:@0.300111:0.293320:0.309094:0.293320:0.309094:0.276886:0.300111:0.276886:0.000000 :@0.318923:0.284666:0.351173:0.284666:0.351173:0.268232:0.318923:0.268232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 19. f( ) = (x + :@0.073089:0.354706:0.185939:0.354706:0.185939:0.338272:0.073089:0.338272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.112825:0.354706:0.120280:0.354706:0.120280:0.338299:0.112825:0.338299:0.000000 x :@0.143786:0.354706:0.154481:0.354706:0.154481:0.338299:0.143786:0.338299:0.000000:0.000000 cos cos x:@0.185829:0.354706:0.245464:0.354706:0.245464:0.338299:0.185829:0.338299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) = :@0.245450:0.354706:0.325724:0.354706:0.325724:0.338272:0.245450:0.338272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.297653:0.354706:0.306912:0.354706:0.306912:0.338299:0.297653:0.338299:0.000000 π:@0.335369:0.347867:0.344573:0.347867:0.344573:0.331461:0.335369:0.331461:0.000000 4:@0.335480:0.364259:0.344462:0.364259:0.344462:0.347826:0.335480:0.347826:0.000000 :@0.354292:0.354704:0.386541:0.354704:0.386541:0.338270:0.354292:0.338270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 20. f( )= :@0.073089:0.427099:0.139939:0.427099:0.139939:0.410665:0.073089:0.410665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.112825:0.427099:0.120280:0.427099:0.120280:0.410693:0.112825:0.410693:0.000000 x –:@0.166212:0.417913:0.186036:0.417913:0.186036:0.401507:0.166212:0.401507:0.000000:0.000000:0.000000 1:@0.185981:0.417913:0.194964:0.417913:0.194964:0.401479:0.185981:0.401479:0.000000 coscos x:@0.152369:0.434305:0.208766:0.434305:0.208766:0.417899:0.152369:0.417899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.221231:0.427108:0.292762:0.427108:0.292762:0.410674:0.221231:0.410674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.264690:0.427108:0.273949:0.427108:0.273949:0.410702:0.264690:0.410702:0.000000 π:@0.302404:0.420261:0.311607:0.420261:0.311607:0.403854:0.302404:0.403854:0.000000 6:@0.302514:0.436653:0.311497:0.436653:0.311497:0.420219:0.302514:0.420219:0.000000 Estudiante 2: derivada de la velocidad (aceleración):@0.529641:0.148458:0.913992:0.148458:0.913992:0.131788:0.529641:0.131788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calcular la segunda derivada de:@0.529641:0.175820:0.759603:0.175820:0.759603:0.159386:0.529641:0.159386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f(t) :@0.759345:0.175820:0.785299:0.175820:0.785299:0.159414:0.759345:0.159414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 5:@0.785115:0.175820:0.808778:0.175820:0.808778:0.159386:0.785115:0.159386:0.000000:0.000000:0.000000 sin 2t:@0.808695:0.175820:0.846761:0.175820:0.846761:0.159414:0.808695:0.159414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ); notada :@0.828152:0.175820:0.917924:0.175820:0.917924:0.159386:0.828152:0.159386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f\(t:@0.529641:0.192462:0.551470:0.192462:0.551470:0.176055:0.529641:0.176055:0.000000:0.000000:0.000000:0.000000 ), que representa la aceleración del objeto en :@0.551767:0.192462:0.917915:0.192462:0.917915:0.176028:0.551767:0.176028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 función del tiempo.:@0.529641:0.209103:0.671756:0.209103:0.671756:0.192670:0.529641:0.192670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Identificar cuándo la aceleración es má ima, mínima :@0.529641:0.236465:0.917832:0.236465:0.917832:0.220032:0.529641:0.220032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.815561:0.236465:0.823016:0.236465:0.823016:0.220059:0.815561:0.220059:0.000000 o se anula.:@0.529641:0.253107:0.606013:0.253107:0.606013:0.236673:0.529641:0.236673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Estudiante 3: análisis de velocidad y aceleración en :@0.529641:0.314987:0.917937:0.314987:0.917937:0.298317:0.529641:0.298317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la oscilación:@0.529641:0.331629:0.621917:0.331629:0.621917:0.314959:0.529641:0.314959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Usando las funciones de velocidad y aceleración :@0.529641:0.358991:0.917905:0.358991:0.917905:0.342557:0.529641:0.342557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtenidas, interpretar cómo cambian ambas en :@0.529641:0.375633:0.917953:0.375633:0.917953:0.359199:0.529641:0.359199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 relación con la posición del objeto durante su :@0.529641:0.392275:0.917972:0.392275:0.917972:0.375841:0.529641:0.375841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 oscilación.:@0.529641:0.408916:0.604798:0.408916:0.604798:0.392483:0.529641:0.392483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cada estudiante expone sus hallazgos y gráficos en :@0.529641:0.470796:0.917677:0.470796:0.917677:0.454362:0.529641:0.454362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una presentación colaborativa. Los estudiantes con-:@0.529641:0.487438:0.913856:0.487438:0.913856:0.471004:0.529641:0.471004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cluyen cómo las derivadas de funciones trigonométri-:@0.529641:0.504080:0.913856:0.504080:0.913856:0.487646:0.529641:0.487646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cas permiten modelar no solo la posición, sino :@0.529641:0.520722:0.918038:0.520722:0.918038:0.504288:0.529641:0.504288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 también la velocidad y la aceleración y energía en :@0.529641:0.537364:0.917754:0.537364:0.917754:0.520930:0.529641:0.520930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 movimientos oscilatorios, conectando así matemáti-:@0.529641:0.554005:0.913856:0.554005:0.913856:0.537572:0.529641:0.537572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cas y física en un contexto aplicado.:@0.529641:0.570647:0.788456:0.570647:0.788456:0.554213:0.529641:0.554213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Investiga cómo la derivada de :@0.533194:0.783704:0.772427:0.783704:0.772427:0.767271:0.533194:0.767271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sen x:@0.774439:0.783704:0.811419:0.783704:0.811419:0.767298:0.774439:0.767298:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) y :@0.798810:0.783704:0.835422:0.783704:0.835422:0.767271:0.798810:0.767271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cos x:@0.837539:0.783704:0.873949:0.783704:0.873949:0.767298:0.837539:0.767298:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) se :@0.861321:0.783704:0.905646:0.783704:0.905646:0.767271:0.861321:0.767271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 relaciona con el análisis de movimiento armónico :@0.533194:0.800346:0.905484:0.800346:0.905484:0.783912:0.533194:0.783912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 simple, como en el movimiento de un péndulo o :@0.533194:0.816988:0.905725:0.816988:0.905725:0.800554:0.533194:0.800554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de ondas sonoras.:@0.533194:0.833630:0.663878:0.833630:0.663878:0.817196:0.533194:0.817196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E plica con ejemplos y gráficos cómo la derivada :@0.533194:0.860992:0.905591:0.860992:0.905591:0.844558:0.533194:0.844558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.541864:0.860992:0.549318:0.860992:0.549318:0.844586:0.541864:0.844586:0.000000 representa la velocidad o aceleración en estos :@0.533194:0.877634:0.905648:0.877634:0.905648:0.861200:0.533194:0.861200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fenómenos. :@0.533194:0.894275:0.623209:0.894275:0.623209:0.877842:0.533194:0.877842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En grupos de tres estudiantes, resuelvan el siguien-:@0.082566:0.542481:0.466780:0.542481:0.466780:0.525811:0.082566:0.525811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 te ejercicio::@0.082566:0.559123:0.168557:0.559123:0.168557:0.542453:0.082566:0.542453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un objeto oscila de acuerdo con la función de :@0.082566:0.586485:0.470650:0.586485:0.470650:0.570051:0.082566:0.570051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 posición :@0.082566:0.603127:0.152808:0.603127:0.152808:0.586693:0.082566:0.586693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f(t:@0.155974:0.603127:0.171694:0.603127:0.171694:0.586720:0.155974:0.586720:0.000000:0.000000:0.000000 )=5:@0.172080:0.603127:0.197869:0.603127:0.197869:0.586693:0.172080:0.586693:0.000000:0.000000:0.000000 sen:@0.198329:0.603127:0.222755:0.603127:0.222755:0.586720:0.198329:0.586720:0.000000:0.000000:0.000000 (2 ), donde t es el tiempo en :@0.223142:0.603127:0.470957:0.603127:0.470957:0.586693:0.223142:0.586693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.245212:0.603127:0.250587:0.603127:0.250587:0.586720:0.245212:0.586720:0.000000 segundos y ) es la posición en metros. Este ejercicio :@0.082566:0.619768:0.471005:0.619768:0.471005:0.603335:0.082566:0.603335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f(t:@0.169430:0.619768:0.184229:0.619768:0.184229:0.603362:0.169430:0.603362:0.000000:0.000000:0.000000 investigará la posición, velocidad y aceleración del :@0.082566:0.636410:0.470964:0.636410:0.470964:0.619976:0.082566:0.619976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 objeto en el tiempo usando derivadas de funciones :@0.082566:0.653052:0.471110:0.653052:0.471110:0.636618:0.082566:0.636618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 trigonométricas.:@0.082566:0.669694:0.201528:0.669694:0.201528:0.653260:0.082566:0.653260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Estudiante 1: derivada de la posición (velocidad):@0.082566:0.697056:0.446934:0.697056:0.446934:0.680386:0.082566:0.680386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calcular la primera derivada de ( ) = 5:@0.082566:0.724418:0.379235:0.724418:0.379235:0.707984:0.082566:0.707984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f t:@0.327088:0.724418:0.342403:0.724418:0.342403:0.708012:0.327088:0.708012:0.000000:0.000000:0.000000 sen t:@0.379438:0.724418:0.423266:0.724418:0.423266:0.708012:0.379438:0.708012:0.000000:0.000000:0.000000:0.000000:0.000000 (2 ), que :@0.403607:0.724418:0.470775:0.724418:0.470775:0.707984:0.403607:0.707984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 representa la velocidad del objeto en función del :@0.082511:0.741060:0.470909:0.741060:0.470909:0.724626:0.082511:0.724626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiempo.:@0.082511:0.757701:0.138426:0.757701:0.138426:0.741268:0.082511:0.741268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Identificar en qué puntos la velocidad es má ima y en :@0.082511:0.785063:0.470821:0.785063:0.470821:0.768630:0.082511:0.768630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.398637:0.785063:0.406092:0.785063:0.406092:0.768657:0.398637:0.768657:0.000000 qué puntos se anula.:@0.082529:0.801705:0.233185:0.801705:0.233185:0.785271:0.082529:0.785271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajo colaborativo:@0.089309:0.513708:0.244769:0.513708:0.244769:0.497039:0.089309:0.497039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad indagatoria:@0.526505:0.757466:0.689866:0.757466:0.689866:0.740796:0.526505:0.740796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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