If `y=cos^(-1)(1-2sin^(2)x)," find "(dy)/(dx)`

Explanation

To find the derivative of the function \( y = \cos^{-1}(1 - 2\sin^2 x) \), we will follow these steps:

### Step 1: Rewrite the function using a trigonometric identity
We know that:
\[ \cos 2x = 1 - 2\sin^2 x \]
Thus, we can rewrite \( y \) as:
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