El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$e^{5 x} \tan{\left(\frac{x}{2} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = -50.2654824574367$$
$$x_{2} = -98.460730813543$$
$$x_{3} = -5.4362950111708$$
$$x_{4} = -30.4849680683665$$
$$x_{5} = -68.0262381133571$$
$$x_{6} = -74.5596738084551$$
$$x_{7} = -49.701811975762$$
$$x_{8} = -12.4028307382911$$
$$x_{9} = -6.28318530717959$$
$$x_{10} = -18.8495559215388$$
$$x_{11} = -75.398223686155$$
$$x_{12} = -24.2023818387779$$
$$x_{13} = -81.6777280520219$$
$$x_{14} = -37.6379235107147$$
$$x_{15} = -18.8313350320164$$
$$x_{16} = -43.9822971502571$$
$$x_{17} = -79.9397579791006$$
$$x_{18} = -36.0155442891587$$
$$x_{19} = -69.1150383789755$$
$$x_{20} = -37.6991118430775$$
$$x_{21} = -18.0384079571261$$
$$x_{22} = -100.530964914873$$
$$x_{23} = 0$$
$$x_{24} = -12.5663706143592$$
$$x_{25} = -100.530964909761$$
$$x_{26} = -94.2477796076938$$
$$x_{27} = -56.5486677412066$$
$$x_{28} = -31.4159265358979$$
$$x_{29} = -81.6814089933346$$
$$x_{30} = -31.4159263750849$$
$$x_{31} = -62.8195596505899$$
$$x_{32} = -56.5486677646163$$
$$x_{33} = -61.4930794464157$$
$$x_{34} = -62.8318530717959$$
$$x_{35} = -87.9645943005142$$
$$x_{36} = -87.6337571730484$$
$$x_{37} = -68.4027349357875$$
$$x_{38} = -25.1327412287183$$
$$x_{39} = 6.28318530717959$$
$$x_{40} = -74.427342964243$$
$$x_{41} = -93.8772653057058$$
$$x_{42} = -12.5663705188832$$