Question

Найти производную функции
y=sin x+e^x/e^x-sin x

Answer 1

$y= \frac{\sin x+e^x}{e^x-\sin x} \\ y'= (\frac{\sin x+e^x}{e^x-\sin x} )'= \\ = \frac{(\cos x+e^x)(e^x-\sin x) - ( \sin x+e^x)(e^{2} - \cos x) }{(e^x-\sin x) ^{2} }$