Question

найдите производную функцию​

Answer 1

Ответ:

$( \sin(x) + \cos(x) {)}^{2} \\ \sin(x {)}^{2} + 2 \sin(x) \cos(x) + \cos(x {)}^{2} \\ 1 + \sin( 2x)$

Answer 2

Номер 16:

$f(x) = (sin(x)+cos(x))^2\\f'(x) = 2 * (sin(x)+cos(x))^{2 - 1} * (sin(x)+cos(x))' =\\2*(sin(x)+cos(x))*(cos(x)-sin(x)) = 2 * (cos^2(x)-sin^2(x)) = 2 * cos(2x)$

Номер 18:

$f(x) = sin^2(x)\\f'(x) = 2*sin^{2-1}(x) * (sin(x))' = 2*sin(x)*cos(x) = sin(2x)$