Question

If $y={\sin }^{-1}{e}^{x^2}$, then find $\frac{dy}{dx}$.

Answer 1

Given,

$y={\sin }^{-1}{e}^{x^2}$.

$\therefore \frac{dy}{dx}=\frac{2x{e}^{x^2}}{\sqrt{1-e^{2x^2}}}$