JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

Let

f \,\theta=\sin \left\{\tan ^{-1}\left(\frac{\sin \theta}{\sqrt{\cos 2 \theta}}\right)\right\}

, where

-\frac{\pi}{4} < \theta < \frac{\pi}{4}

. Then the value of

\frac{d}{d(\tan \theta)}(f(\theta))

, is

View answer and explanation

Correct option: A

Option A (1) is correct because after simplification, f(θ) = tan θ, and therefore the derivative of f(θ) with respect to tan θ is 1.

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