AP EAMCET · Maths · Differentiation
The derivative of \(\operatorname{Sec}^{-1}\left(\frac{1}{2 x^2-1}\right)\) with respect to \(\sqrt{1-x^2}\) at \(x=\frac{1}{2}\) is
- A \(-2\)
- B \(1\)
- C \(2\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
Let \(u = \operatorname{Sec}^{-1}\left(\frac{1}{2 x^2-1}\right)\) and \(v = \sqrt{1-x^2}\). Let \(x = \cos \theta\).…
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