Write the Taylor expansion to degree three about the given point for each function. $$ f(x,y)=3(x-1)^2 + 2y,~~~~~~ (x_0, y_0)=(0, 0) $$
I know how to do Taylor and Maclaurin series for single variable functions, but how do I go about doing this in multivariable.
Note that the function is in polynomial form thus we can simply expand it
$$f(x,y)=3-6x+2y+3x^2$$
that is the Taylor’s expansion at (x,y)=(0,0).