Q. 1 J4.0( 3 Votes )

Find the points o

Answer :

: f(x) = , a > 0 x≠0


f'(x) =


and f’’(x) =


For maxima and minima,


f'(x) = 0


= 0



x = ±a


now,


f’’(a) = 2/a > 0 as a > 0


x = a is point of minima


f’’(– a) = – 2/a < 0 as a > 0


x = – a is point of maxima


hence


local max value = f(– a) = – 2a


local min value = f(a) = 2a


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