Find values of $x$ and $y$ such that both $f_{x}(x, y)=0$ and $f_{y}(x, y)=0$.
-$f(x, y)=3 x^{2}+3 y^{2}-6 x-6 y+2$
A) $x=0, y=0$
B) $x=6, y=6$
C) $x=3, y=3$
D) $x=1, y=1$

Name: Find values of $x$ and $y$ such that both $f_{x}(x, y)=0$ and $f_{y}(x, y)=0$. -$f(x, y)=3 x^{2}+3 y^{2}-6 x-6 y+2$ A) $x=0, y=0$ B) $x=6, y=6$ C) $x=3, y=3$ D) $x=1, y=1$
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Quizplus · Accepted Answer

To find the critical points, set the partial derivatives $f_x = 6x - 6$ and $f_y = 6y - 6$ to zero. Solving these gives $x = 1$ and $y = 1$.

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Find Values Of $x$ And $y$ Such That Both $f_{x}(x, y)=0$ And $f_{y}(x, y)=0$