`" If "y=sqrt((1-x)/(1+x))," then "(1-x^(2))(dy)/(dx)` is equal to

Options

A. `y^(2)`
B. `1//y`
C. `-y`
D. `-y//x`

Explanation

To solve the problem, we need to find the expression for \((1 - x^2) \frac{dy}{dx}\) given that \(y = \sqrt{\frac{1 - x}{1 + x}}\).

### Step 1: Rewrite the expression for \(y\)
We start with the given expression:
\[ y = \sqrt{\frac{1 - x}{1 + x}} = \left(\frac{1 - x}{1 + x}\right)^{\frac{1}{2}} \]

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