taylor polynomial help!

I don't really understand how to derive taylor polymomials for questions like these for example

find the 3rd degree taylor polymomial about the origin of
f(x,y) = (cos y) ln(xy+1)

can someone please help and explain what the starting steps are

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Originally Posted by Kuma

I don't really understand how to derive taylor polymomials for questions like these for example

find the 3rd degree taylor polymomial about the origin of
f(x,y) = (cos y) ln(xy+1)

can someone please help and explain what the starting steps are

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Do you know the Taylor series for cos(x) and ln(1+1) ?

yes. Do I just substitute the terms of the question into the taylor series of cos x and ln 1+x?

I was looking over some examples and that is what my instructor did. But what about a question like

cos(xy)/[1 + y^2]

there isn't a standard representation for the denominator.

Quote:

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Originally Posted by Kuma

yes. Do I just substitute the terms of the question into the taylor series of cos x and ln 1+x?

I was looking over some examples and that is what my instructor did. But what about a question like

cos(xy)/[1 + y^2]

there isn't a standard representation for the denominator.

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Expanding about :



CB