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


Răspuns :

[tex]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.[/tex]