El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$e^{\frac{x}{2}} x = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = -91.202176802074$$
$$x_{2} = -85.3421347312688$$
$$x_{3} = -104.962955758259$$
$$x_{4} = -95.1233238199672$$
$$x_{5} = -108.910110368545$$
$$x_{6} = -66.1743908154507$$
$$x_{7} = -106.935853068999$$
$$x_{8} = -130.693518398882$$
$$x_{9} = -68.047205166158$$
$$x_{10} = -110.885626192036$$
$$x_{11} = -122.760587836202$$
$$x_{12} = -71.8335701954046$$
$$x_{13} = -97.0874332317734$$
$$x_{14} = -140.623071549049$$
$$x_{15} = 0$$
$$x_{16} = -142.610453609706$$
$$x_{17} = -134.663757053366$$
$$x_{18} = -114.840076308525$$
$$x_{19} = -128.709285568355$$
$$x_{20} = -93.1614947460733$$
$$x_{21} = -112.862309069507$$
$$x_{22} = -116.81885295264$$
$$x_{23} = -83.3959375378463$$
$$x_{24} = -124.742778377687$$
$$x_{25} = -73.7427721766645$$
$$x_{26} = -81.4540563265311$$
$$x_{27} = -89.2456339389766$$
$$x_{28} = -99.0536202034724$$
$$x_{29} = -87.2921696195403$$
$$x_{30} = -69.9344146471001$$
$$x_{31} = -101.021705770294$$
$$x_{32} = -132.678353627986$$
$$x_{33} = -102.991531325427$$
$$x_{34} = -75.660519606254$$
$$x_{35} = -126.725692171233$$
$$x_{36} = -138.636144267935$$
$$x_{37} = -79.5170556694887$$
$$x_{38} = -120.779168063121$$
$$x_{39} = -64.3191992119936$$
$$x_{40} = -136.64969703715$$
$$x_{41} = -77.5856076024516$$
$$x_{42} = -118.798570886391$$