Question

Найти производную функции.

Answer 1

$y'=(sqrt{x^2+4} )'cdot ln (sin x)+sqrt{x^2+4}cdot (ln (sin x))'=\=dfrac{1}{2sqrt{x^2+4}}cdot2xcdot ln (sin x)+sqrt{x^2+4}cdot dfrac{1}{sin x}cdot cos x=\=dfrac{xln (sin x)}{sqrt{x^2+4}} +tg xcdot sqrt{x^2+4}.$