Question

Найти производную:
Sin²x*cosx​​

Answer 1

Ответ:

$( \sin {}^{2} (x) \cos(x))' = ( \sin {}^{2} (x))' \times ( \sin(x))' \times \cos(x) + ( \cos(x)) '\times \sin {}^{2} (x)) = \\ = 2 \sin(x) \cos(x) \times \cos(x) - \sin(x) \times \sin {}^{2} (x) = \\ = \sin(x) (2 \cos {}^{2} (x) - \sin {}^{2} (x))$