we plug x = −1 into the second derivative, the value is negative, so (−1, 0) is a maximum. If we
plug x = −3 into the second derivative, the value is positive, so (−3, −4) is a minimum. Now,
we can draw the curve. It looks like the following:
- Minimum at (0, −36); Maxima at and and ; points of inflection at
and .
First, we can easily see that the graph has x-intercepts at x = ±2 and x = ±3. Next, before we
take the derivative, let’s multiply the two terms so we don’t have to use the Product Rule. We
