Let f(x,y) = e^(x^2 + y^2)(adsbygoogle = window.adsbygoogle || []).push({});

Use Taylor's theorem to show that the error in the linear approximation L(1,1)(x,y) is at most 5e^2[(x-1)^2+(y-1)^2] if 0 <= x <= 1, 0 <= y <= 1.

I've taken the partial and second partial derivatives and tried plugging it into this theorem but I get messy algebra and cannot simplify to the above.

Thanks guys.

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# Homework Help: Error of Lin Approx with Taylors Formula

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