Question

For the function:

f(x,y)=x^{3}+xy-2y^{2},

Find the polynomial given by:

f_{xx}(1,2)(x-2)^{2}+f_{xx}\left ( x-2 \right )(y-1)+f_{yy}(1,2)(y-1)^{2}

23 Apr 2024
Answer :
Word Count : 255

To find the second partial derivatives and evaluate them at the point (1, 2), we first compute the partial derivatives of \( f(x, y) \) with respect to \( x \) and \( y \):

\[
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