1.

Find the possiblepointsof Maxima//Minima for f(x) =|x^(2)-2x| (X inR)

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Solution :` f(x) ={ underset( X^(2) -2X ""X LE 02)underset(x^(2) -x^(2) "" 0 lt x lt 2)(X^(2) -2x "" X le 2).`
`f(x) ={underset(2(x-1) ""x lt 0)underset(2(1-x)""0 lt x le2)(2(x -1) ""x GT2).`
f(x) =0 at x=1 and f(x) doesnot EXIST at x=0 ,2. Thusthese are critical points


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