Find `(d)/(dx)[sqrt(1-x^(2))sin^(-1)x-x].`

Explanation

To find the derivative of the function \( y = \sqrt{1 - x^2} \sin^{-1}(x) - x \), we will use the product rule and the chain rule of differentiation.

### Step-by-Step Solution:

1. **Identify the function to differentiate**:
\[ y = \sqrt{1 - x^2} \sin^{-1}(x) - x \]
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