El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$e^{- 2 x^{2}} x = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = -20.2441823080008$$
$$x_{2} = -56.0039065398716$$
$$x_{3} = -6.77669888897845$$
$$x_{4} = 16.5602258260622$$
$$x_{5} = 52.25478185912$$
$$x_{6} = 58.25$$
$$x_{7} = -66$$
$$x_{8} = 10.7360059816192$$
$$x_{9} = 88.25$$
$$x_{10} = 7.02275733140978$$
$$x_{11} = 98.25$$
$$x_{12} = -54.0046390574462$$
$$x_{13} = -100$$
$$x_{14} = -92$$
$$x_{15} = -84$$
$$x_{16} = -8.59501634254265$$
$$x_{17} = 84.25$$
$$x_{18} = -18.2709886320365$$
$$x_{19} = -86$$
$$x_{20} = -70$$
$$x_{21} = -12.4033345814019$$
$$x_{22} = 70.25$$
$$x_{23} = -42.1167412471519$$
$$x_{24} = 24.4588085855729$$
$$x_{25} = -60$$
$$x_{26} = -74$$
$$x_{27} = 48.3552324909834$$
$$x_{28} = -80$$
$$x_{29} = -82$$
$$x_{30} = -44.1114464579814$$
$$x_{31} = 72.25$$
$$x_{32} = 14.6029193935148$$
$$x_{33} = 8.84761334321555$$
$$x_{34} = 46.359774190717$$
$$x_{35} = 30.4176105229209$$
$$x_{36} = 78.25$$
$$x_{37} = -64$$
$$x_{38} = 12.6590510554094$$
$$x_{39} = 3.97102158064074$$
$$x_{40} = -94$$
$$x_{41} = 0$$
$$x_{42} = -5.10617036211904$$
$$x_{43} = 50.2549742706183$$
$$x_{44} = 20.4996604745356$$
$$x_{45} = -14.3469928317833$$
$$x_{46} = 76.25$$
$$x_{47} = -30.1632538439016$$
$$x_{48} = 66.25$$
$$x_{49} = 36.3899680626113$$
$$x_{50} = 90.25$$
$$x_{51} = 40.3760972741839$$
$$x_{52} = -98$$
$$x_{53} = 22.4774223387911$$
$$x_{54} = 94.25$$
$$x_{55} = 86.25$$
$$x_{56} = 34.3981121827669$$
$$x_{57} = -62$$
$$x_{58} = -32.1530930319572$$
$$x_{59} = -40.1225635533425$$
$$x_{60} = -38.1289962268763$$
$$x_{61} = -22.2221815043682$$
$$x_{62} = 68.25$$
$$x_{63} = 74.25$$
$$x_{64} = -58$$
$$x_{65} = -50.0049986172146$$
$$x_{66} = 32.4072605118898$$
$$x_{67} = -3.82239063495401$$
$$x_{68} = 5.33115511959599$$
$$x_{69} = 38.3826716383851$$
$$x_{70} = -76$$
$$x_{71} = -90$$
$$x_{72} = -28.1748554837394$$
$$x_{73} = 60.25$$
$$x_{74} = 96.25$$
$$x_{75} = -24.2038045666902$$
$$x_{76} = 92.25$$
$$x_{77} = -52.0048081374259$$
$$x_{78} = 64.25$$
$$x_{79} = -68$$
$$x_{80} = 18.5266882424272$$
$$x_{81} = -34.1441207855936$$
$$x_{82} = 28.4294149468469$$
$$x_{83} = -46.1066106375155$$
$$x_{84} = 56.2539066409319$$
$$x_{85} = 82.25$$
$$x_{86} = 100.25$$
$$x_{87} = -16.3043539195018$$
$$x_{88} = -48.1021767304102$$
$$x_{89} = -78$$
$$x_{90} = 80.25$$
$$x_{91} = -26.1882268002913$$
$$x_{92} = 44.3647250321472$$
$$x_{93} = -36.1361403943326$$
$$x_{94} = -72$$
$$x_{95} = -10.4811043525974$$
$$x_{96} = -88$$
$$x_{97} = 42.3701429639777$$
$$x_{98} = 26.4430024893397$$
$$x_{99} = 62.25$$
$$x_{100} = 54.2546878967498$$
$$x_{101} = -96$$