Question

Derivada f(x)=e^7x^2-9

Answer 1

$\large\boxed{\begin{array}{l}\rm Se\,u\,\acute e\,uma\,func_{\!\!,}\tilde ao\,de\,x\,ent\tilde ao\\\rm \dfrac{d}{dx}(e^u)=e^u\cdot\dfrac{du}{dx}.\\\\\rm f(x)=e^{7x^2-9}\\\rm \dfrac{d f(x)}{dx}=e^{7x^2-9}\cdot \dfrac{d}{dx}(7x^2-9)\\\\\rm\dfrac{df(x)}{dx}=14x\cdot e^{7x^2-9}\end{array}}$