turunan f(x)=x^2 cos^2 x

TURUNAN

f(x) = x^2 cos^2x
misal f(x) = U×V

U = x^2 ==> U' = 2x

V = cos^2x ==> V' = -2sinxcosx = -sin2x

f'(x) = U'V + UV' = 2x(cos^2x) + x^2(-sin2x)
= 2xcos^2x - x^2sin2x

atau

= x(2cos^2x - xsin2x)

f(x) = x² cos² x
f'(x) = 2x (cos² x) + x² [2 cos x (-sin x)]
       = 2x cos² x + x² (-sin 2x)
       = x (2 cos² x - x sin 2x)