How do you find the derivative of # [e^x / (1 - e^x)]#?
Ahh... We gotta use the good ol' quotient rule. Using Lagrange's notation (one that I do not use often) as it would get messy in In Leibniz' notation, we see:
So (back to Leibniz)
So, we've gotta figure out what the derivative of
Then sub back in
And that's the most we can simplify for now. Therefore: