Well, we know that a quadratic function is a MIN when the coefficient of x^2 is positive and a MAX when the coefficient of x^2 is negative. Is there a particular proof or derivation for this? What is the reasoning behind it?

Thanks in advance.

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- Nov 30th 2008, 03:04 AMyobaculThe quadratic function
Well, we know that a quadratic function is a MIN when the coefficient of x^2 is positive and a MAX when the coefficient of x^2 is negative. Is there a particular proof or derivation for this? What is the reasoning behind it?

Thanks in advance. - Nov 30th 2008, 04:09 AMpankaj
Let

For max or min put

..i.e

. If then is point of minima and if then is point of maxima

**ALITER**

Obviously, if

if