WBJEE · Maths · Differentiation
If \(y=\tan ^{-1} \frac{\sqrt{1+x^2}-1}{x}\), then \(y^{\prime}(1)=\)
- A \(1 / 4\)
- B \(1 / 2\)
- C \(-1 / 4\)
- D \(-1 / 2\)
Answer & Solution
Correct Answer
(A) \(1 / 4\)
Step-by-step Solution
Detailed explanation
Hints: \(y=\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right) \quad\) Put \(x=\tan \theta\)…
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