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(Solved): Find the critical point(s) and classify them as local maxima, local minima, o ...


Find the critical point(s) and classify them as local maxima, local minima, or saddle points. \[ f(x, y)=e^{10 x^{2}+y^{2}} \???????

Find the critical point(s) and classify them as local maxima, local minima, or saddle points. Number of critical points: Enter the critical point(s) as point(s) .


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To find the critical points, we need to find where the gradient of f(x, y) is equal to zero:?f(x,y)=<20xe10x2+y2,2ye10x2+y2>=0This occurs when x = 0 o
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