- #1

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How do u expand f(x,y) = y^2/x^2 about the point (1,-1) ? up to and including quadratic term???

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- Thread starter darkar
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- #1

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How do u expand f(x,y) = y^2/x^2 about the point (1,-1) ? up to and including quadratic term???

- #2

Zurtex

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Have you ever used the taylor series on multi-variable functions before?darkar said:How do u expand f(x,y) = y^2/x^2 about the point (1,-1) ? up to and including quadratic term???

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Not really, how? Have only done one variable so far.

- #4

HallsofIvy

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The general term in a Taylor's series for f(x,y) about the point (a,b) is

[tex]\frac{1}{(m+n)!}\frac{\partial^m f}{\partial x^m}\frac{\partial^n f}{\partial y^n}(x- a)^m(y- b)^n[/tex]

(edited. Thanks, daveb)

[tex]\frac{1}{(m+n)!}\frac{\partial^m f}{\partial x^m}\frac{\partial^n f}{\partial y^n}(x- a)^m(y- b)^n[/tex]

(edited. Thanks, daveb)

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- #5

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Shouldn't that (x - b)^n be (**y** - b)^n?

- #6

Hurkyl

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