# How do you differentiate e^sqrty-xy=6?

Dec 13, 2015

Use implicit differentiation ...

#### Explanation:

Using implicit differentiation, chain and product rules :

$\left({e}^{\sqrt{y}}\right) \times \left(\frac{1}{2}\right) \left({y}^{- \frac{1}{2}}\right) \times y ' - y - x y ' = 0$

Finally, solve for y'

y'=y/[(e^sqrty)xx(1/2)(y^(-1/2))-x

hope that helps