Answer to Question #204091 in Calculus for moe

Question

Determine the derivative of $y = e$^arcsin$^x$

Answer 1

$y=e^{sin^{-1}x}$

Differentiating with respect to x

$\dfrac{dy}{dx}=e^{sin^{-1}x}\times\dfrac{1}{\sqrt{1-x^2}}\times1$

$y'=\dfrac{e^{sin^{-1}x}}{\sqrt{1-x^2}}$