Question

10 класс....
Найдите производную функции f(x) = (3-2x) (1-x^3)

Answer 1

$f(x)=(3-2x)*(1-x^3) \\ \\ f'(x)=(3-2x)'*(1-x^3)+(3-2x)*(1-x^3) \\ \\ f'(x)=-2(1-x^3)+(3-2x)*(-3x^2)=-2+2x^3-9x^2+6x^3= \\ \\ =8x^3-9x^2-2$