Question

НАЙТИ ПРОИЗВОДНУЮ ФУНКЦИИ
f(x)=e^x*cos8x

Answer 1

Ответ:

$f'(x) = ( {e}^{x} )'\cos(8x) + {e}^{x} (\cos(8x))' = \\ = {e}^{x} \cos(8x) - 8 \sin(8x) \times {e}^{x} = \\ = {e}^{x} (\cos(8x) - 8 \sin(8x))$