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

##### 1 Answer

Multiply both sides of the equation by

Separate terms containing y to the left and x to the right.

Differentiate each term.

Divide both sides by the coefficient of

#### Explanation:

Multiply both sides by

Add 11e^x + y to both sides:

Differentiate each term with respect to x:

The derivative of y is

The derivative of

The derivative of

The derivative of x is 1:

Factor dy/dx from the left side:

Divide both sides