Let $f ( x , y ) = a x ^ { 2 } + b x - y ^ { 2 } + c y + d$ , for constants a, b, c, and d, with $a \neq 0$ .
The constants can be chosen in such a way that f will have a local minimum.

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The Answer of Let $f ( x , y ) = a x ^ { 2 } + b x - y ^ { 2 } + c y + d$ , for constants a, b, c, and d, with $a \neq 0$ .
The constants can be chosen in such a way that f will have a local minimum.

Let f(x,y)=ax2+bx−y2+cy+df ( x , y ) = a x ^ { 2 } + b x - y ^ { 2 } + c y + df(x,y)=ax2+bx−y2+cy+d

Let $f ( x , y ) = a x ^ { 2 } + b x - y ^ { 2 } + c y + d$