Найдите f'(п/12), если f(x)=sin^2(3x)

Question

Найдите f'(п/12), если f(x)=sin^2(3x)

Answer 1

F'(x) = 2Sin3x * Cos3x * 3 = 3Sin6x
f'(π/12) = 3Sin(6*π/12) = 3Sinπ/2 = 3*1 = 3