# Math Help - Derivative with trig functions

1. ## Derivative with trig functions

I need help with the following derivative:

sinx^1/3 + (sinx)^1/3
Thanks!

2. I'm assuming this is $\sin (x^{1/3}) + (\sin x)^{1/3}$.

Take the two parts of the function separately.

The derivative of $\sin (x^{1/3})$ is

$\cos (x^{1/3}) \cdot (1/3)x^{-2/3}$.

The derivative of $(\sin x)^{1/3}$ is

$(1/3)(\sin x)^{-2/3} \cdot \cos x$.

Add the two together and you're done.