Mathematics

Problem

For the function

g(x)=7\sin\left(x+\dfrac{\pi}{4}\right)-5\tan x+e^{x}

, answer the following: (i) Find

g'(x)

. (ii) Simplify the result obtained in part (i) as far as possible. (iii) Compute

g'(x)

when

x=\dfrac{\pi}{4}