El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{- 6 x \sin{\left(x^{2} \right)}}{\log{\left(x + 5 \right)}} - \frac{3 \cos{\left(x^{2} \right)}}{\left(x + 5\right) \log{\left(x + 5 \right)}^{2}} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = 86.2148954897348$$
$$x_{2} = 32.682432442405$$
$$x_{3} = 9.86854142393614$$
$$x_{4} = 39.2749527950482$$
$$x_{5} = 80.2121046856096$$
$$x_{6} = 52.7584216085822$$
$$x_{7} = 78.2292942050809$$
$$x_{8} = 77.8871966150373$$
$$x_{9} = -1.79334115486068$$
$$x_{10} = 11.3491997252881$$
$$x_{11} = 6.13971327458525$$
$$x_{12} = 62.1118004093597$$
$$x_{13} = 60.080695138711$$
$$x_{14} = 92.0652864393333$$
$$x_{15} = 66.2480559128675$$
$$x_{16} = 28.2482633462898$$
$$x_{17} = 1.76627126015251$$
$$x_{18} = 8.12229175940478$$
$$x_{19} = 16.2447932840267$$
$$x_{20} = 52.2498227238258$$
$$x_{21} = 45.7073195417184$$
$$x_{22} = 42.279618671723$$
$$x_{23} = 59.6872351354325$$
$$x_{24} = 82.185303975835$$
$$x_{25} = 98.2553520875764$$
$$x_{26} = 45.9814288774632$$
$$x_{27} = 19.8957372404552$$
$$x_{28} = 57.9242688422914$$
$$x_{29} = 71.3398912084805$$
$$x_{30} = 94.1238082074019$$
$$x_{31} = 22.9736225321867$$
$$x_{32} = 96.2035963275429$$
$$x_{33} = 22.1379358078611$$
$$x_{34} = 3.96251732833643$$
$$x_{35} = 18.248519027349$$
$$x_{36} = 70.8094757331895$$
$$x_{37} = 69.8490756478831$$
$$x_{38} = 64.24992389333$$