If y = \( \tan^{- 1}{\left ( \frac{x}{\sqrt{1 - x^{2}}} \right )} \) then find the value of \( \frac{dy}{dx} \) .

A \( \frac{1}{\sqrt{1 - x^{2}}} \)

B \( \tan^{- 1}{\left ( \frac{x}{\sqrt{1 - x^{2}}} \right )} \)

C 1

D π

Solution

Correct Answer: Option A

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