How do you differentiate #e^(xy)+y=x-1#?
Differentiate each term, put each term back into the equation, and then solve for
The first term:
Use the product rule:
Use the chain rule:
The second term:
The third term:
The fouth term:
Put the terms back into the equation:
First, we differentiate both sides with respect to x:
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