1.

Find the pointsof maximaor minima of f(x) =x^(2) (x-2)^(2).

Answer»

Solution :`F(x) =x^(2) (x-2)^(2)`
`f(x) =4 x(x -1) (x-2)`
`f'(x) =0 ""rArr ""x=0,1,2`
EXAMINING the sighchange of f'(x)

HENCE x=1 is pointof maxima x=0,2 are points of minima.
Note: In case of continuous functions points of maxima and minima arealternate.k


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