# How do you implicitly differentiate #11=(x-y)(e^y+e^x)#?

##### 1 Answer

Use the power rule and some algebra to get

#### Explanation:

Begin by taking the derivative with respect to

The left side is easy - the derivative of a constant is

The right side is a little harder. Because there's multiplication going on there, we'll have to apply the product rule, which says:

In our case,

Applying the power rule:

Doing some algebra to isolate

And there you have it.