Question

use implicit differentiation to find dy/dx x=e^y

Answer 1

\[\frac {d}{dx} \left[ x = e^y \right]\]\[1 = e^y \frac {dy}{dx}\]\[\frac {dy}{dx} = \frac {1}{e^y} = e^{-y}\]

Answer 2

use implicit differentiation to find dy/dx tan(xy)=x+y

16 minutes ago