For the function

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

Problem

For the function g(x)=7sin⁡(x+π4)−5tan⁡x+exg(x)=7\sin\left(x+\dfrac{\pi}{4}\right)-5\tan x+e^{x}, answer the following: (i) Find g′(x)g'(x). (ii) Simplify the result obtained in part (i) as far as possible. (iii) Compute g′(x)g'(x) when x=π4x=\dfrac{\pi}{4}.

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