Tentukan turunan fungsi f(x)=x^1/3sinx

jawab


f(x)= x^(1/3) . sin x
u = x^(1/3)
u' = 1/3 x^(-2/3) = 1/(3x^(2/3))

v= sin x
v' = cos x

y = uv 
y' = u'v  + u v'
y' =  sin x / (3∛x²)  + ∛x. cos x