If `y=(xsin^(-1)x)/(sqrt(1-x^2)),"p r o v et h a t"(1-x^2)(dy)/(dx)=x+y/xdot`

Explanation

To solve the problem, we need to differentiate the given function and manipulate the result to prove the equation. Let's break it down step by step.

### Step 1: Identify the function
We have:
\[ y = \frac{x \sin^{-1}(x)}{\sqrt{1 - x^2}} \]

### Step 2: Differentiate \( y \) with respect to \( x \)
To differentiate \( y \), we will use the quotient rule. The quotient rule states that if \( y = \frac{u}{v} \), then:
...