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