Question

какая производная функции f(x) = 1/2sin(2x-1)

Answer 1

$f'(x)=(frac{1}{2}sin(2x-1))'=frac{1}{2}*cos(2x-1)*(2x-1)'=\=frac{1}{2}*cos(2x-1)*2=cos(2x-1)$