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.
to find local max/min $\displaystyle z=f(x,y)= (2x-x^2)(2y-y^2)$
do I multiply the function first??
or just the the partial diff as it is?
You'll get the same answer either way. Do what's easiest. I'd recommend taking as is, because when you take the partial w.r.t $\displaystyle x$, $\displaystyle (2y-y^2)$ is a constant and vice versa.