El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(- 3 \sin{\left(x \right)} + \cos{\left(x \right)}\right) e^{2 x} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = 0.321750554396642$$
$$x_{2} = -5.96143475278294$$
$$x_{3} = -78.2180657853482$$
$$x_{4} = -93.9260290532972$$
$$x_{5} = -27.2878051068923$$
$$x_{6} = -43.6605465958605$$
$$x_{7} = -37.3773612886809$$
$$x_{8} = -68.7932878245788$$
$$x_{9} = -15.3862127135523$$
$$x_{10} = -49.9437319030401$$
$$x_{11} = -71.9348804781686$$
$$x_{12} = -9.10302740637274$$
$$x_{13} = -40.5189539422707$$
$$x_{14} = -2.81984209919315$$
$$x_{15} = -34.2357686350911$$
$$x_{16} = -46.8021392494503$$
$$x_{17} = 12.8881211687558$$
$$x_{18} = -100.209214360477$$
$$x_{19} = -81.359658438938$$
$$x_{20} = -56.2269172102196$$
$$x_{21} = -84.5012510925278$$
$$x_{22} = 3.46334320798644$$
$$x_{23} = -24.8109906743217$$
$$x_{24} = -27.9525833279115$$
$$x_{25} = -97.067621706887$$
$$x_{26} = -87.6428437461176$$
$$x_{27} = -90.7844363997074$$
$$x_{28} = 6.60493586157623$$
$$x_{29} = -31.0941759815013$$
$$x_{30} = -21.6693980207319$$
$$x_{31} = -75.0764731317584$$
$$x_{32} = -59.3685098638094$$
$$x_{33} = -65.651695170989$$
$$x_{34} = 9.74652851516602$$
$$x_{35} = -18.5278053671421$$
$$x_{36} = -12.2446200599625$$
$$x_{37} = -53.0853245566298$$
$$x_{38} = -62.5101025173992$$