Question

Se considera functia f: R→R, f(x)=x³-12x
Aratati ca f '(x)= 3(x-2) * (x+2) , x∈R

Answer 1

$f(x)=x^3-12x \\\\ f'(x)= 3* x^{3-1} - 12x^{1-1} \\\\ f'(x)=3x^2-12x^0 \\\\ f'(x)=3x^2-12 \\\\ f'(x)=3(x^2-4) \\\\\\ \boxed{f'(x)=3*(x-2)*(x+2) }\ \ \ \ c.c.t.d.$