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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f′(1)=2f^{\prime}(1)=2 and g′(2)=4g^{\prime}(\sqrt{2})=4, then the derivative of f(tan⁡x)f(\tan x) w.r.t. g(sec⁡x)g(\sec x) at x=π4x=\frac{\pi}{4} is
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Correct option: C
2/2\sqrt{2} / 2
Option C (2/2\sqrt{2} / 2) is correct because it is the result of differentiating f(tan⁡x)f(\tan x) with respect to g(sec⁡x)g(\sec x) and evaluating at x=π4x = \frac{\pi}{4}.

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