Derivative of asin(x)

Step-by-step solution

1. 1Derivative of arcsin
   $$\frac{d}{dx}\left[{\sin }^{-1}\left(x\right)\right]=\frac{1}{\sqrt{1-{\left(x\right)}^2}}$$

   The derivative of $\arcsin (x)$ is $\frac{1}{\sqrt{1-x^2}}$.

2. ✓Final Answer
   $$\frac{d}{dx}\left[{\sin }^{-1}\left(x\right)\right]=\frac{1}{\sqrt{1-x^2}}$$

   The first derivative simplifies to $\frac{1}{\sqrt{1-x^2}}$.