$y = {cos}^{- 1} 5 x$ Derivote w.r.t. 'x'

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Solution

$\begin{matrix} y = {cos}^{- 1} 5 x p u t u = 5 x y = {cos}^{- 1} u \frac{d y}{d x} = \frac{- 1}{\sqrt{1 - u^{2}}} \frac{d u}{d x} = \frac{- 1}{\sqrt{1 - {(5 x)}^{2}}} \frac{d (5 x)}{d x} = \frac{- 5}{\sqrt{1 - 25 x^{2}}} \end{matrix}$

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