Find the maximum and minimum values of the function .


f’(x) =


f’’(x) =


For maxima and minima,


f'(x) = 0



(x + 2)2 = 4


x2 + 4x = 0


x(x + 4) = 0


x = 0, – 4


Now f’’(0) = 1 > 0


x = 0 is point of minima


f’’(– 4) = – 1 < 0


x = – 4 is point of maxima


Local max value = f(– 4) = – 6


Local min value = f(0) = 2


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