I am having a hard time doing the following problems. First off all the notation is confusing the hell out of me. This is the first time i have used this notation so it is making learning very difficult. Here are my questions.(adsbygoogle = window.adsbygoogle || []).push({});

Prove the following function is differentiable, and find the derivative at an arbitarary point.

1.) f:R^{2}-->R,(x,y)|--> e^{xy}

2.) let f(u,v,w) = (e^{u-w}, cos(v+u) + sin(u+v+w)) and

g(x,y) = (e^{x}, cos(y-x), e^{-y}). Calculate fog and D(fog)(0,0).

Thanks.

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# Partial derivatives + Chain rule

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