, then y = . So there are points of inflection at
and . Next, we need to determine if each critical point ismaximum, minimum, or something else. If we plug x = 0 into the second derivative, the value is
negative, sois a maximum. If we plug x = 0 into the second derivative, the value is positive, so
(2, −4) is a minimum. If we plug x = 2 into the second derivative, the value is negative, so (−2,
−4) is a minimum. Now, we can draw the curve. It looks like the following: