Question

If $y=e^{3\log x}$, then show that $\frac{dy}{dx}=3x^2$.

Answer 1

Given y $=e^{3logx}$

y=$=e^{logx3}$

we konw $=e^{logx}$= x then

$y=x^3$

on differentiating wrt x we get

$\frac{dy}{dx}$ $=3x^2$.