## Related questions with answers

Question

Find the critical points of each of the functions and classify them as local maxima, minima, or neither. $f(x, y)=x^2-y^2+x y-7$.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4Let the function $f(x,y)=x^2-y^2+xy-7$. We begin by locating the critical points of this function. The partial derivatives of $f$ are:

$\begin{aligned} f_x&=2x+y\\ f_y&=-2y+x \end{aligned}$

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