asked 2014-07-17 11:15:53 -0600
So I'm working on the exam review, and I'm looking at question 3 part a. I run into issues on my partial derivatives when they include e.
I ended up with $\frac {\delta f}{\delta x} = e^{xy} + xye^{xy}$ and $\frac {\delta f}{\delta y} = x^2e^{xy}$
I don't feel like thats right though, and I can't get mathematica or wolfram alpha to give me answers. Any help would be greatly appreciated!
answered 2014-07-17 11:37:25 -0600
That is what I got! For the $\frac{df}{dx}$ I used the Product rule, or $(f*g)= f'g + fg'$, and got your answer. And for $\frac{df}{dy}$ I used the traditional rules for taking the derivative involving $e$, where we treat $x$ as a constant and bring it down. I believe I am correct, and you are too!
answered 2014-07-17 11:30:05 -0600
Actually that is perfect (I think); you are abiding by the product rule when differentiating with respect to x and treating x as a constant when differentiating with respect to y. Beautiful! :)
Asked: 2014-07-17 11:15:53 -0600
Seen: 27 times
Last updated: Jul 17 '14
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