# How do you differentiate #e^(xy)+y=x-1#?

##### 2 Answers

Differentiate each term, put each term back into the equation, and then solve for

#### Explanation:

Differentiate:

**The first term:**

Let

Use the product rule:

Use the chain rule:

**The second term:**

**The third term:**

**The fouth term:**

Put the terms back into the equation:

Solve for

See explanation

#### Explanation:

First, we differentiate both sides with respect to x:

For differentiating

With

Using the chain rule...

Then back to (1), we get:

We now move all terms without y' as a factor to the right hand side...

Factor out y' from the left hand side...

And divide both sides by