Question

Turunan dari f(x)=sin²x+cos3x

Answer 1

Cos 2x = 1 - 2 sin² x
sin² x = 1/2 (1 - cos 2x)
sin² x = 1/2 - 1/2 cos 2x

f(x) = sin² x+ cos 3x
f(x) = 1/2 - 1/2 cos 2x + cos 3x

f '(x) = - ( - sin 2x) - 3 sin 3x
f '(x) = sin 2x - 3 sin x
 

Answer 2

f(x)=sin²x+cos3x
U = sin²x
U'= 2 sin x . cos x
V = cos3x
V'= -3sin3x
f'(x)= U'+V'
= 2 sin x . cos x - 3 sin3x