Theory and Examples In Exercise, a. Find the derivative of the given function...

Theory and Examples

In Exercise,

a. Find the derivative of the given function

b. Graph side by side using separate sets of coordinate axes, and answer the following questions.

c. For what values of x, if any, is f ' positive? Zero? Negative?

d. Over what intervals of x-values, if any, does the function increase as x increases? Decrease as x increases? How is this related to what you found in part (c)? (We will say more about this relationship in Section 4.3.)