Question

Решите уравнения f'(x)=0
a) f(x)=x^3+3x^2+3x+1
b)f(x)=x^3-6x^2+12x-1

Answer 1

$a)f(x)=x^3+3x^2+3x+1 \ f'(x)=3x^2+6x+3 \ 3x^2+6x+3=0 \ x^2+2x+1=0 \ x=1 \ b)f(x)=x^3-6x^2+12x-1 \ f'(x)=3x^2-12x+12 \ 3x^2-12x+12=0 \ x^2-4x+4=0 \ x=-2$