Question

IF $Y=e^{3\log x},$ then show that $\frac{dy}{dx}=3x^2$

Answer 1

Given $y=e^{3\log x}$

$⟹y=e^{\log x^3}$

$⟹y=x^3$

Differentiating on both sides

$⟹\frac{dy}{dx}=3x^2$