Question

Найти производную функции f(x)=(3-2x)^160

Answer 1

f(x) = (3-2x)¹⁶⁰

f'(x) = 160·(3-2x)¹⁵⁹·(3-2x)' = 160(3-2x)¹⁵⁹·(-2) = -320(3-2x)¹⁵⁹

Ответ: -320(3-2x)¹⁵⁹.