Question

qual a derivada de sen(x^2)

Answer 1

Regra da cadeia:

Onde u=x²

$\frac{dy}{dx} = \frac{dy}{du} \frac{du}{dx} \\ \\ \frac{dy}{dx}= \frac{dsen(u)}{du} \frac{dx^2}{dx} \\ \\ \frac{dy}{dx} =-cos(u).2x =-cos(2x).2x=-2x.cos(2x)$