$\\displaystyle f(x, y) = f(a, b) + f_x(a, b)(x -a) + f_y(a, b)(y -b)\\\\\\vspace{0.2 in} \\ \\ \\ + \\frac{1}{2!}\\big[f_{xx}(a, b)(x - a)^2 + 2f_{xy}(a, b)(x - a)(y - b) + f_{yy}(a, b)(y - b)^2\\big] + \\cdots$ <\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

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