Derivative of Inverse Sine Function

The derivative is $\frac{1}{1-x^2}$.

The correct derivative is $\frac{1}{\sqrt{1-x^2}}$.

The derivative is defined only for $|x| < 1$.

Implicit differentiation of $y=\sin^{-1}(x)$ leads to the derivative $dy/dx = 1/\sqrt{1-x^2}$.