Given that the quadratic Taylor polynomial of f at (4, 5)is $p ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 y$ decide whether $( 4,5 )$ is a critical point.If so, identify what sort of critical point it is.

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The Answer of Given that the quadratic Taylor polynomial of f at (4, 5)is $p ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 y$ decide whether $( 4,5 )$ is a critical point.If so, identify what sort of critical point it is.

Given That the Quadratic Taylor Polynomial of F at (4 p(x,y)=−2+x2+y2−4x+12yp ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 yp(x,y)=−2+x2+y2−4x+12y

Given That the Quadratic Taylor Polynomial of F at (4 $p ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 y$