Question

$derivative\:of\:f\left(x\right)=x^3$

solve

Answer 1

$derivative\:of\:f\left(x\right)=x^3$

$\frac{d}{dx}\left(x^3\right)=3x^2$

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$Simplify$

$=3x^2$