Question

f(x) = cos4x-8sinx найти производную

Answer 1

$f(x) = \cos(4x) - 8 \sin(x) \\ f'(x) = ( \cos(4x) )' - 8( \sin(x) )' = (4x)' \times \\ \times ( \cos(g) )' - 8 \cos(x) = - 4 \sin(4x) - 8 \cos(x)$