Q1 of 137 Page 18

Find the points of local maxima or local minima and corresponding local maximum and local minimum values of each of the following functions. Also, find the points of inflection, if any:

f(x) = x/2 + 2/x, x > 0

f(x) = , x > 0


f'(x) =


And f’’(x) =


For maxima and minima,


f'(x) = 0


= 0



x = 2, – 2


now,


f’’(2) = 1/2 > 0


x = 2 is point of minima


we will not consider x = – 2 as x > 0


local min value = f(2) = 2


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