For the function

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the function y=(sin⁡x)tan⁡xy=(\sin x)^{\tan x}, defined for x∈(0,π2)x\in\bigl(0,\tfrac{\pi}{2}\bigr), evaluate dydx\dfrac{dy}{dx} at x=π6x=\dfrac{\pi}{6}.

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