Question

Найдите производную

F(x)=(2x-x^2)(1+3x)

Answer 1

$f(x)=(2x-x^2)(1+3x)\\f'(x)=(2-2x)(1+3x)+(2x-x^2)cdot 3=\\=2+6x-2x-6x^2+6x-3x^2=-9x^2+10x+2$