140:@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 1. Dada la ecuación :@0.073089:0.136836:0.236777:0.136836:0.236777:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x seny y cos x:@0.236630:0.136836:0.345351:0.136836:0.345351:0.120153:0.236630:0.120153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + :@0.284029:0.136836:0.298828:0.136836:0.298828:0.120167:0.284029:0.120167:0.000000:0.000000 = 1, :@0.345325:0.136836:0.384845:0.136836:0.384845:0.120167:0.345325:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determina :@0.103233:0.156848:0.186111:0.156848:0.186111:0.140178:0.103233:0.140178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dy:@0.191445:0.150011:0.209152:0.150011:0.209152:0.133328:0.191445:0.133328:0.000000:0.000000 dx:@0.191445:0.166403:0.209152:0.166403:0.209152:0.149720:0.191445:0.149720:0.000000:0.000000 .:@0.214546:0.156848:0.218356:0.156848:0.218356:0.140178:0.214546:0.140178:0.000000 2. Calcula: :@0.073089:0.227098:0.165850:0.227098:0.165850:0.210428:0.073089:0.210428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.258044:0.120077:0.258044:0.120077:0.241610:0.104633:0.241610:0.000000:0.000000:0.000000 b. :@0.104633:0.334370:0.121531:0.334370:0.121531:0.317936:0.104633:0.317936:0.000000:0.000000:0.000000 .:@0.267406:0.334370:0.270609:0.334370:0.270609:0.317936:0.267406:0.317936:0.000000 En los ejercicios 3 al 11, calcula :@0.073089:0.408882:0.324005:0.408882:0.324005:0.392213:0.073089:0.392213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dy:@0.330742:0.401151:0.348450:0.401151:0.348450:0.384468:0.330742:0.384468:0.000000:0.000000 dx:@0.330742:0.417544:0.348450:0.417544:0.348450:0.400860:0.330742:0.400860:0.000000:0.000000 por medio de la :@0.354083:0.408890:0.489707:0.408890:0.489707:0.392220:0.354083:0.392220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derivación implícita. :@0.073078:0.425532:0.230045:0.425532:0.230045:0.408862:0.073078:0.408862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.073089:0.456462:0.086416:0.456462:0.086416:0.439792:0.073089:0.439792:0.000000:0.000000:0.000000 :@0.105129:0.456462:0.122923:0.456462:0.122923:0.439792:0.105129:0.439792:0.000000:0.000000:0.000000 x y x:@0.105511:0.456462:0.153603:0.456462:0.153603:0.439778:0.105511:0.439778:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.113561:0.450398:0.119066:0.450398:0.119066:0.440679:0.113561:0.440679:0.000000 2:@0.130896:0.450398:0.136401:0.450398:0.136401:0.440679:0.130896:0.440679:0.000000 – – :@0.136355:0.456462:0.174379:0.456462:0.174379:0.440028:0.136355:0.440028:0.000000:0.000000:0.000000:0.000000 2 :@0.153529:0.450398:0.161266:0.450398:0.161266:0.440679:0.153529:0.440679:0.000000:0.000000 y:@0.174287:0.456462:0.182405:0.456462:0.182405:0.439778:0.174287:0.439778:0.000000 2 :@0.182343:0.450398:0.190080:0.450398:0.190080:0.440679:0.182343:0.440679:0.000000:0.000000 = 0:@0.190032:0.456462:0.214201:0.456462:0.214201:0.439792:0.190032:0.439792:0.000000:0.000000:0.000000 4. :@0.073089:0.526710:0.086416:0.526710:0.086416:0.510041:0.073089:0.510041:0.000000:0.000000:0.000000 + :@0.105129:0.526710:0.136050:0.526710:0.136050:0.510041:0.105129:0.510041:0.000000:0.000000:0.000000:0.000000 x:@0.105511:0.526710:0.113628:0.526710:0.113628:0.510027:0.105511:0.510027:0.000000 2 :@0.113561:0.520646:0.121299:0.520646:0.121299:0.510928:0.113561:0.510928:0.000000:0.000000 xy :@0.135976:0.526710:0.155698:0.526710:0.155698:0.510027:0.135976:0.510027:0.000000:0.000000:0.000000 + 2 = 8:@0.155635:0.526710:0.219618:0.526710:0.219618:0.510041:0.155635:0.510041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.179712:0.526710:0.187830:0.526710:0.187830:0.510027:0.179712:0.510027:0.000000 2 :@0.187760:0.520646:0.195497:0.520646:0.195497:0.510928:0.187760:0.510928:0.000000:0.000000 5. :@0.073089:0.596958:0.086416:0.596958:0.086416:0.580288:0.073089:0.580288:0.000000:0.000000:0.000000 + 4 + = 0:@0.105129:0.596958:0.228626:0.596958:0.228626:0.580288:0.105129:0.580288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.105511:0.596958:0.113628:0.596958:0.113628:0.580274:0.105511:0.580274:0.000000 4 :@0.113561:0.590894:0.121299:0.590894:0.121299:0.581175:0.113561:0.581175:0.000000:0.000000 x y y:@0.145327:0.596958:0.196853:0.596958:0.196853:0.580274:0.145327:0.580274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.153383:0.590894:0.158889:0.590894:0.158889:0.581175:0.153383:0.581175:0.000000 4 :@0.196768:0.590894:0.204505:0.590894:0.204505:0.581175:0.196768:0.581175:0.000000:0.000000 6. :@0.073089:0.667206:0.086416:0.667206:0.086416:0.650537:0.073089:0.650537:0.000000:0.000000:0.000000 + 2:@0.105129:0.667206:0.145419:0.667206:0.145419:0.650537:0.105129:0.650537:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.105511:0.667206:0.113628:0.667206:0.113628:0.650523:0.105511:0.650523:0.000000 2 :@0.113561:0.661143:0.121299:0.661143:0.121299:0.651424:0.113561:0.651424:0.000000:0.000000 xy :@0.145327:0.667206:0.165049:0.667206:0.165049:0.650523:0.145327:0.650523:0.000000:0.000000:0.000000 = 16:@0.164986:0.667206:0.198524:0.667206:0.198524:0.650537:0.164986:0.650537:0.000000:0.000000:0.000000:0.000000 7. 9 + 4 = 72:@0.073089:0.737455:0.201753:0.737455:0.201753:0.720786:0.073089:0.720786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.112657:0.737455:0.120775:0.737455:0.120775:0.720772:0.112657:0.720772:0.000000 2 :@0.120703:0.731391:0.128441:0.731391:0.128441:0.721673:0.120703:0.721673:0.000000:0.000000 x:@0.152469:0.737455:0.160587:0.737455:0.160587:0.720772:0.152469:0.720772:0.000000 2 :@0.160525:0.731391:0.168263:0.731391:0.168263:0.721673:0.160525:0.721673:0.000000:0.000000 8. (2 ) + (3 ) = :@0.073089:0.807703:0.224996:0.807703:0.224996:0.791033:0.073089:0.791033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.117811:0.807703:0.125929:0.807703:0.125929:0.791019:0.117811:0.791019:0.000000 1/2:@0.131003:0.801639:0.145608:0.801639:0.145608:0.791920:0.131003:0.791920:0.000000:0.000000:0.000000 y:@0.178616:0.807703:0.186734:0.807703:0.186734:0.791019:0.178616:0.791019:0.000000 1/3:@0.191813:0.801639:0.206418:0.801639:0.206418:0.791920:0.191813:0.791920:0.000000:0.000000:0.000000 x:@0.224904:0.807703:0.233022:0.807703:0.233022:0.791019:0.224904:0.791019:0.000000 9. :@0.073089:0.877951:0.086416:0.877951:0.086416:0.861282:0.073089:0.861282:0.000000:0.000000:0.000000 + 2 + 3:@0.105129:0.877951:0.198178:0.877951:0.198178:0.861282:0.105129:0.861282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.105511:0.877951:0.113628:0.877951:0.113628:0.861268:0.105511:0.861268:0.000000 2 :@0.113561:0.871888:0.121299:0.871888:0.121299:0.862169:0.113561:0.862169:0.000000:0.000000 x y :@0.145327:0.877951:0.174065:0.877951:0.174065:0.861268:0.145327:0.861268:0.000000:0.000000:0.000000:0.000000 2:@0.153383:0.871888:0.158889:0.871888:0.158889:0.862169:0.153383:0.862169:0.000000 xy :@0.198086:0.877951:0.217808:0.877951:0.217808:0.861268:0.198086:0.861268:0.000000:0.000000:0.000000 = 0:@0.217745:0.877951:0.241914:0.877951:0.241914:0.861282:0.217745:0.861282:0.000000:0.000000:0.000000 10. + 8 + 3:@0.514231:0.136836:0.639322:0.136836:0.639322:0.120167:0.514231:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.546653:0.136836:0.554770:0.136836:0.554770:0.120153:0.546653:0.120153:0.000000 2 :@0.554703:0.130772:0.562441:0.130772:0.562441:0.121054:0.554703:0.121054:0.000000:0.000000 x y :@0.586469:0.136836:0.615208:0.136836:0.615208:0.120153:0.586469:0.120153:0.000000:0.000000:0.000000:0.000000 2:@0.594525:0.130772:0.600030:0.130772:0.600030:0.121054:0.594525:0.121054:0.000000 xy:@0.639230:0.136836:0.655667:0.136836:0.655667:0.120153:0.639230:0.120153:0.000000:0.000000 2 :@0.655602:0.130772:0.663339:0.130772:0.663339:0.121054:0.655602:0.121054:0.000000:0.000000 = 0 :@0.663291:0.136836:0.699161:0.136836:0.699161:0.120167:0.663291:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 11. 5 + 2:@0.514231:0.207085:0.607174:0.207085:0.607174:0.190415:0.514231:0.190415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.553798:0.207085:0.579250:0.207085:0.579250:0.190401:0.553798:0.190401:0.000000:0.000000:0.000000 2:@0.561845:0.201021:0.567351:0.201021:0.567351:0.191303:0.561845:0.191303:0.000000 xy:@0.607082:0.207085:0.623520:0.207085:0.623520:0.190401:0.607082:0.190401:0.000000:0.000000 2:@0.623463:0.201021:0.628968:0.201021:0.628968:0.191303:0.623463:0.191303:0.000000 = :@0.628923:0.207085:0.647551:0.207085:0.647551:0.190415:0.628923:0.190415:0.000000:0.000000:0.000000 –:@0.647459:0.207085:0.656663:0.207085:0.656663:0.190651:0.647459:0.190651:0.000000 x:@0.656589:0.207085:0.664707:0.207085:0.664707:0.190401:0.656589:0.190401:0.000000 12. Halla la ecuación de la recta tangente a la elipse :@0.514231:0.277332:0.930815:0.277332:0.930815:0.260663:0.514231:0.260663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4 + = 72 que pasa por el punto :@0.544355:0.296193:0.811238:0.296188:0.811238:0.279519:0.544355:0.279524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.553724:0.296193:0.561842:0.296193:0.561842:0.279510:0.553724:0.279510:0.000000 2 :@0.561767:0.290124:0.569504:0.290124:0.569504:0.280406:0.561767:0.280406:0.000000:0.000000 y:@0.584182:0.296188:0.592299:0.296188:0.592299:0.279505:0.584182:0.279505:0.000000 2 :@0.592224:0.290124:0.599962:0.290124:0.599962:0.280406:0.592224:0.280406:0.000000:0.000000 .:@0.879858:0.296188:0.883668:0.296188:0.883668:0.279519:0.879858:0.279519:0.000000 13. Demuestra que la suma de las intersecciones e :@0.514231:0.369967:0.930834:0.369967:0.930834:0.353297:0.514231:0.353297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.892915:0.369967:0.926932:0.369967:0.926932:0.353283:0.892915:0.353283:0.000000:0.000000:0.000000 de la recta tangente a la curva :@0.544374:0.390145:0.798743:0.390145:0.798743:0.373476:0.544374:0.373476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.916978:0.390139:0.930821:0.390139:0.930821:0.373469:0.916978:0.373469:0.000000:0.000000:0.000000 donde es una constante, es igual a . :@0.544352:0.410311:0.836162:0.410311:0.836162:0.393641:0.544352:0.393641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.598101:0.410311:0.606495:0.410311:0.606495:0.393627:0.598101:0.393627:0.000000 k:@0.820129:0.410311:0.828523:0.410311:0.828523:0.393627:0.820129:0.393627:0.000000 14. Encuentra las ecuaciones de las rectas tangentes a :@0.514231:0.484088:0.930990:0.484088:0.930990:0.467419:0.514231:0.467419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la curva :@0.544355:0.504266:0.605432:0.504266:0.605432:0.487597:0.544355:0.487597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en el punto de coordenadas :@0.714781:0.504260:0.930814:0.504260:0.930814:0.487591:0.714781:0.487591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.652330:0.538728:0.659969:0.538728:0.659969:0.522058:0.652330:0.522058:0.000000:0.000000 Aplica la derivación implícita en los ejercicios 15 al 20 :@0.514231:0.641139:0.931021:0.641139:0.931021:0.624470:0.514231:0.624470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para calcular:@0.514231:0.661151:0.610479:0.661151:0.610479:0.644482:0.514231:0.644482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.610354:0.661151:0.614385:0.661151:0.614385:0.644717:0.610354:0.644717:0.000000 dy:@0.619768:0.654314:0.637476:0.654314:0.637476:0.637631:0.619768:0.637631:0.000000:0.000000 dx:@0.619768:0.670706:0.637476:0.670706:0.637476:0.654023:0.619768:0.654023:0.000000:0.000000 .:@0.642869:0.661151:0.646072:0.661151:0.646072:0.644717:0.642869:0.644717:0.000000 15. = :@0.514231:0.731401:0.573325:0.731401:0.573325:0.714731:0.514231:0.714731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.546653:0.731401:0.554770:0.731401:0.554770:0.714718:0.546653:0.714718:0.000000 sen x y:@0.573233:0.731401:0.636278:0.731401:0.636278:0.714718:0.573233:0.714718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( :@0.598064:0.731401:0.615165:0.731401:0.615165:0.714731:0.598064:0.714731:0.000000:0.000000:0.000000 – :@0.615091:0.731401:0.628252:0.731401:0.628252:0.714967:0.615091:0.714967:0.000000:0.000000 ) :@0.636204:0.731401:0.699967:0.731401:0.699967:0.714731:0.636204:0.714731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16. = :@0.514231:0.801650:0.572791:0.801650:0.572791:0.784980:0.514231:0.784980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x cos x y:@0.546653:0.801650:0.635946:0.801650:0.635946:0.784966:0.546653:0.784966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( + ) :@0.596610:0.801650:0.707440:0.801650:0.707440:0.784980:0.596610:0.784980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 17. :@0.514231:0.871897:0.550172:0.871897:0.550172:0.855228:0.514231:0.855228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 csc x sec y :@0.546653:0.871897:0.647200:0.871897:0.647200:0.855214:0.546653:0.855214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.568946:0.865833:0.574451:0.865833:0.574451:0.856115:0.568946:0.856115:0.000000 + :@0.574404:0.871897:0.604371:0.871897:0.604371:0.855228:0.574404:0.855228:0.000000:0.000000:0.000000:0.000000 2:@0.627069:0.865833:0.632574:0.865833:0.632574:0.856115:0.627069:0.856115:0.000000 – :@0.647145:0.871897:0.660306:0.871897:0.660306:0.855463:0.647145:0.855463:0.000000:0.000000 5 = 0:@0.660214:0.871897:0.697581:0.871897:0.697581:0.855228:0.660214:0.855228:0.000000:0.000000:0.000000:0.000000:0.000000 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 es una demostración, no tiene respuesta:@0.532362:0.447754:0.741974:0.447754:0.741974:0.435802:0.532362:0.435802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y´(x)=:@0.096332:0.629104:0.126787:0.629104:0.126787:0.617152:0.096332:0.617152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 -x -3x:@0.131280:0.621576:0.160828:0.621576:0.160828:0.609624:0.131280:0.609624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.140895:0.617166:0.144704:0.617166:0.144704:0.610198:0.140895:0.610198:0.000000 2:@0.160758:0.617166:0.164567:0.617166:0.164567:0.610198:0.160758:0.610198:0.000000 x +y:@0.134414:0.635552:0.157689:0.635552:0.157689:0.623600:0.134414:0.623600:0.000000:0.000000:0.000000:0.000000 3:@0.140098:0.631142:0.143907:0.631142:0.143907:0.624174:0.140098:0.624174:0.000000 3:@0.157625:0.631142:0.161434:0.631142:0.161434:0.624174:0.157625:0.624174:0.000000 y´(x)= -:@0.098229:0.693432:0.135499:0.693432:0.135499:0.681481:0.098229:0.681481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.148499:0.685905:0.154389:0.685905:0.154389:0.673953:0.148499:0.673953:0.000000 x+y:@0.141698:0.699884:0.161203:0.699884:0.161203:0.687932:0.141698:0.687932:0.000000:0.000000:0.000000 y´(x)= -:@0.098230:0.767409:0.135500:0.767409:0.135500:0.755457:0.098230:0.755457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4x:@0.145336:0.759881:0.157559:0.759881:0.157559:0.747929:0.145336:0.747929:0.000000:0.000000 9y:@0.145256:0.773860:0.157625:0.773860:0.157625:0.761909:0.145256:0.761909:0.000000:0.000000 y´(x)=:@0.096326:0.552988:0.126782:0.552988:0.126782:0.541036:0.096326:0.541036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 -2x-y:@0.135075:0.545455:0.160781:0.545455:0.160781:0.533503:0.135075:0.533503:0.000000:0.000000:0.000000:0.000000:0.000000 x+4y:@0.134941:0.559434:0.160925:0.559434:0.160925:0.547482:0.134941:0.547482:0.000000:0.000000:0.000000:0.000000 y´(x)=:@0.103455:0.487410:0.133910:0.487410:0.133910:0.475458:0.103455:0.475458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x-xy:@0.142542:0.479877:0.163790:0.479877:0.163790:0.467926:0.142542:0.467926:0.000000:0.000000:0.000000:0.000000 2:@0.163727:0.475467:0.167535:0.475467:0.167535:0.468499:0.163727:0.468499:0.000000 (x -1)y:@0.138673:0.493851:0.171421:0.493851:0.171421:0.481900:0.138673:0.481900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.147846:0.489441:0.151655:0.489441:0.151655:0.482474:0.147846:0.482474:0.000000 dy:@0.128071:0.178788:0.141191:0.178788:0.141191:0.166836:0.128071:0.166836:0.000000:0.000000 dx:@0.128152:0.192767:0.141124:0.192767:0.141124:0.180815:0.128152:0.180815:0.000000:0.000000 =:@0.155796:0.186322:0.166653:0.186322:0.166653:0.174370:0.155796:0.174370:0.000000:0.000000 y senx - seny:@0.172770:0.178788:0.239619:0.178788:0.239619:0.166836:0.172770:0.166836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x cosx + cosx:@0.171431:0.192767:0.240964:0.192767:0.240964:0.180815:0.171431:0.180815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.119629:0.284570:0.126161:0.284570:0.126161:0.272618:0.119629:0.272618:0.000000 4:@0.119629:0.298549:0.126161:0.298549:0.126161:0.286598:0.119629:0.286598:0.000000 = :@0.132320:0.292105:0.146055:0.292105:0.146055:0.280153:0.132320:0.280153:0.000000:0.000000:0.000000 1:@0.160962:0.284570:0.167495:0.284570:0.167495:0.272618:0.160962:0.272618:0.000000 16-x:@0.152917:0.298549:0.175554:0.298549:0.175554:0.286598:0.152917:0.286598:0.000000:0.000000:0.000000:0.000000 :@0.182408:0.292105:0.199303:0.292105:0.199303:0.280153:0.182408:0.280153:0.000000:0.000000:0.000000 3:@0.185287:0.291701:0.196438:0.291701:0.196438:0.281726:0.185287:0.281726:0.000000 1:@0.227530:0.284570:0.234062:0.284570:0.234062:0.272618:0.227530:0.272618:0.000000 16- 16-x:@0.208172:0.298549:0.253460:0.298549:0.253460:0.286598:0.208172:0.286598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 - senx:@0.165485:0.359977:0.196543:0.359977:0.196543:0.348025:0.165485:0.348025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2(1-cosx cosx(1-cosx):@0.120692:0.373956:0.241421:0.373956:0.241421:0.362004:0.120692:0.362004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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