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Hello all, I have been working on a 3rd order taylor series, but the formula I have does not seem to get me the right answer. The formula I was given is for a taylor polynomial about point (a,b) is:

[tex]P_3=f(a,b)

+\left( f_{1}(a,b)x+f_{2}(a,b)y\right) [/tex]

[tex]+\left(\frac1{2}f_{11}(a,b)x^2+f_{12}(a,b)xy +\frac1{2}f_{22}(a,b)y^2\right)[/tex]

[tex]+\left(\frac1{6}f_{111}(a,b)x^3+\frac1{2}f_{112}(a,b)x^2y +\frac1{2}f_{122}(a,b)xy^2+\frac1{6}f_{222}(a,b)y^3\right)[/tex]

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# Homework Help: 3rd order, multivariable taylor series

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