Question

Найти производную функции: f (x)=cos^3 (2x-1)
A) -3cos (2x-1)sin (4x-2)
B) -3cos (2x-1)
C) sin(4x-2)
D) -cos (2x-1)sin (4x-2)
E) -3sin (2x-1)sin (4x-2)

Answer 1

f'(x)=3*2*(-sin(2x-1)cos²(2x-1)=-6sin(2x-1)cos²(2x-1)=-3*2sin(2x-1)cos(2x-1)* cos(2x-1)=-3sin(4x-2)cos(2x-1)
ответ А