find minima and maxima points of a function

 
< Another problem: try the function x^2*log(x)/2-x^2/4 
< the point x=0 is not a local maximum (does not belong to the domain of the
< function). The problem is that solve(x*log(x)=0,x) returns x=0 which does not
< belong to the domain. 
 
x*log(x) has a limit as x->0, (0), so it is conventional to extend
x*log(x) to include x=0 in its domain. I believe that maxima does this
implicitly.

Leo.

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