Question

Найдите производные

Answer 1

$\displaystyle f(x)=(6x^2-3)*(x+2);\\f'(x)=12x(x+2)+(6x^2-3)=12x^2+24x+6x^2-3=18x^2+24x-3;\\f(x)=(5x^2-3)^6;\\f'(x)=6(5x^2-3)^5*10x=60x(5x^2-3)^5;\\f(x)=sin(2x-\pi/3);\\f'(x)=2cos(2x-\pi/3);$