# Math Help - Implicit differentiation?

1. ## Implicit differentiation?

Hi - hopefully just a quickie here: Is this question a matter of implicit differentiation:

y + 2xsin(y) = e^x

And does it differentiate to:

dy/dx + 2x*dy/dx*cos(y) + 2sin(y) = e^x

and if you want $\displaystyle\frac{dy}{dx}$, just factor it out
$\displaystyle\frac{dy}{dx}\left(1+2xCosy\left)=e^x-2Siny$
$\displaystyle\frac{dy}{dx}=\frac{e^x-2Siny}{1+2xCosy}$