# How do you differentiate #e^sqrt(xy)-sqrt(xy)=8#?

##### 1 Answer

Dec 20, 2015

See explanation.

#dy/dx = -c/(x^2)#

where

#### Explanation:

Let

Then

This has two roots

Numerical approximations for

We can discard

Let

Then the original equation simplifies to:

#xy = c#

So