Differentiate the following function w.r.t. x : ${cos}^{- 1} (1 - 2 {sin}^{2} x)$

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Solution

${cos}^{- 1} (1 - 2 {sin}^{2} x)$

$= {cos}^{- 1} (cos 2 x)$

$= 2 x$

Differentiate with respect $x$ , then,

$\frac{d}{d x} (2 x) = 2$

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