Question

Найти производную функции f(x)=(5x^5-3)^9

Answer 1

f(x) = (5x⁵ - 3)⁹

f'(x) = [(5x⁵ - 3)⁹]' = 9(5x⁵ - 3)⁸ * (5x⁵ - 3)' = 9 * 25x⁴ * (5x⁵ - 3)⁸ =

= 225x⁴(5x⁵ - 3)⁸