Question

Найти производную
y=x^8*ctgx

Answer 1

Ответ:

$y '= ( {x}^{8} ) '\times ctgx + (ctgx)' \times {x}^{8} = \\ = 8 {x}^{7} \times ctgx - \frac{1}{ { \sin }^{2} x} \times {x}^{8} = \\ = {x}^{7} (8ctgx - \frac{x}{ { \sin }^{2} x} )$