How do you differentiate e^xy ? ... Use implicit differentiation

* The derivative of e to the power of any function is the same function, TIMES the derivative of the exponent alone (Chain Rule).
* In this case, the exponent is (x)(y) which is two smaller functions multiplied together (Product Rule).
* The derivative of "xy" is y+xy', where y' is dy/dx, or the derivative of y with respect to x.

[songphitran]

You are a legend, thank you. My teacher uses dy/dx rather than y' or y prime

[Bruhtatochip]

My professor put this in an exam, I'm in differential equations. It's like he doesn't want anyone to get full credit.

[thepureheartofdark]

Thanks, this helped me solve an equation that had e^xy

[Souls_p_]

I was confused when I got this as the answer, but then the calculator says it's e^xy (y), it's treating y as a constant.

[amrutaks]

So how to differentiate e raise to xysquare

[AJAYE-fxim]

" " " "
- this dude

[andrefiechter]

why is the derivative of the y not 1 as well? instead of it being yprime.