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Gitt en funksjon $f(x,y)=e^{\\var{a}x}\\cdot \\sin(\\var{b}y)$ og et punkt $a=\\Big(0,\\dfrac{\\pi}{2}\\Big) $

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Taylorpolynomet av grad 2 blir da

\n

$P_2(x,y)=$[[0]]$+$[[1]] $x+$[[2]]$(y-\\frac{\\pi}{2})+$[[3]]$x^2+$[[4]]$x(y-\\frac{\\pi}{2})+$[[5]]$(y-\\frac{\\pi}{2})^2$

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