F(x)=5 cos^2 x. Вычислите f ' (π/3)

Question

F(x)=5 cos^2 x. Вычислите f ' (π/3)

Answer 1

f (x) =5 cos^2 x
f ' (x) =5*2*cosx * (-sinx)
f ' (π/3) = 10*(1/2)*(-sqrt3/2)= - 5sqrt3/2