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