If `y=sin^(-1)x`, show that `(1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0`.

Explanation

To show that \((1 - x^2) \frac{d^2y}{dx^2} - x \frac{dy}{dx} = 0\) where \(y = \sin^{-1}(x)\), we will follow these steps:

### Step 1: Differentiate \(y = \sin^{-1}(x)\)

We start by differentiating \(y\) with respect to \(x\):

\[
\frac{dy}{dx} = \frac{1}{\sqrt{1 - x^2}}
...