El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$e^{\left(-2\right) x} x^{3} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = 66.9395229429398$$
$$x_{2} = 23.6910725450996$$
$$x_{3} = 72.9153681731068$$
$$x_{4} = 70.9229131491561$$
$$x_{5} = 53.0206279552172$$
$$x_{6} = 43.1177033987681$$
$$x_{7} = 47.0729743006291$$
$$x_{8} = 62.9585241495127$$
$$x_{9} = 92.8593132346828$$
$$x_{10} = 102.840081269714$$
$$x_{11} = 35.246268073843$$
$$x_{12} = 64.9486934381101$$
$$x_{13} = 78.8952630343678$$
$$x_{14} = 60.9690891039246$$
$$x_{15} = 33.2910610446444$$
$$x_{16} = 51.0364726518083$$
$$x_{17} = 27.4810822063064$$
$$x_{18} = 110.827368609286$$
$$x_{19} = 0$$
$$x_{20} = 29.4058365457384$$
$$x_{21} = 68.9309482720677$$
$$x_{22} = 76.9015794928857$$
$$x_{23} = 86.8731717493344$$
$$x_{24} = 108.830359113525$$
$$x_{25} = 55.0061169004622$$
$$x_{26} = 37.2075725354471$$
$$x_{27} = 90.8637117102823$$
$$x_{28} = 21.8443421820398$$
$$x_{29} = 88.8683257958744$$
$$x_{30} = 94.8551155969054$$
$$x_{31} = 96.8511053445093$$
$$x_{32} = 39.173804681114$$
$$x_{33} = 80.889289925719$$
$$x_{34} = 74.9082697985936$$
$$x_{35} = 20.0540124491536$$
$$x_{36} = 104.836707752035$$
$$x_{37} = 41.1440769366425$$
$$x_{38} = 49.0538440180824$$
$$x_{39} = 45.0941454840703$$
$$x_{40} = 31.3435261215667$$
$$x_{41} = 106.833469700208$$
$$x_{42} = 100.843598938032$$
$$x_{43} = 98.8472702005793$$
$$x_{44} = 18.3608001834902$$
$$x_{45} = 25.5738184246976$$
$$x_{46} = 84.8782675059243$$
$$x_{47} = 58.9804738372044$$
$$x_{48} = 56.9927777243603$$
$$x_{49} = 82.8836329004521$$