In each of following graphs identify if x= a is point of local maxima minima or neither

To find local maxima or minima

Find points of local maxima // minima of f(x) =x^(2) e^(-x) .

Find the points of local maxima or minima of f(x)=sin2x-x

Find the points of local maxima/minima of function f(x) = x ln x

Problems based on local maxima and minima

Draw graph of f(x) =x|x-2| and hence find points of local maxima // minima.

Draw graph of f(x) =x|x-2| and hence find points of local maxima // minima.

Which of the following has neither local maxima nor local minima?

Find the points of local maxima and minima (if any) of each of the following functions. Find also the local maximum and minimum values. f(x) = (logx)/x