Find local Max/Min of the function z=f(x,y) = (2x-x^2)(2y-y^2) by finding the critical points of F and then classifying each critical point as to whether it is a local max or local min or saddle point.

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- Apr 24th 2009, 10:08 AMfearless901To find Max/Min on a closed function
Find local Max/Min of the function z=f(x,y) = (2x-x^2)(2y-y^2) by finding the critical points of F and then classifying each critical point as to whether it is a local max or local min or saddle point.

- Apr 24th 2009, 12:57 PMCalculus26
Is your question about the general method or this problem in particular?

If it is generally how do you find and classify local extrema see attachment where I have answered a similar question - Apr 26th 2009, 10:29 PMfearless901
to find local max/min z=f(x,y)= (2x-x^2)(2y-y^2)

do I multiply the function first??

or just the the partial diff as it is? - Apr 26th 2009, 10:44 PMredsoxfan325