Question

derivada da função fx sin 4x

Answer 1

Resposta: 4.cos(4x)

Explicação passo-a-passo:

$\frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}$

$f=\sin \left(u\right),\:\:u=4x$

$\frac{d}{du}\left(\sin \left(u\right)\right)=\cos \left(u\right)$

$\frac{d}{dx}\left(4x\right)=4$

Logo

$=\cos \left(u\right)\cdot \:4$

$\mathrm{Substituir\:na\:equacao}\:u=4x....$

$=\cos \left(4x\right)\cdot \:4$