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Second derivative test for relative extrema
In many variable calculus, when we use the second derivative test, we use the discriminant. When the value of the discriminant (D) is less than 0 we have a saddle point i.e we will have F(x,y)> value of function at critical point or F(x,y)< value of function at critical point. I am confused as why this occurs n how can one show the existence of these values.
Thanks
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