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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
y=(tan⁡x)(tan⁡x)tan⁡xy=(\tan x)^{(\tan x)^{\tan x}}, then at x=π4x=\frac{\pi}{4}, the value of dydx\frac{d y}{d x} is equal to
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Correct option: C
2
Option C is correct because at x=pi/4, the derivative simplifies to 2 after substituting the value.

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