f(x)= x² per sin x adalah??

Turunan , Kelas 11

f(x) = x²/sin x

u = x²
u' = 2x

v = sin x
v' = cos x

f'(x)
= (u'v - uv') / (v²)
= (2x(sin x ) - x²(cos x ) ) / (sin²x)
= (2x(sin x)) / (sin²x) )- (x² (cos x) / (sin²x))
= ( (2x) csc x)) - (x² . cot x . csc x )
= x csc x (2 - x cot x)