Question

if f(x)= sin⁻

Answer 1

$\frac{d}{dx}\left(\arcsin \left(x\right)\right)\\ \frac{d}{dx}\left(\arcsin \left(x\right)\right)\\ \mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(\arcsin \left(x\right)\right)=\frac{1}{\sqrt{1-x^2}}\\ \frac{d}{dx}\left(\arcsin \left(x\right)\right)=\frac{1}{\sqrt{1-x^2}}$