5 USING AND CALCULATING DERIVATIVES
In the last chapter, we were introduced to derivatives in some detail, and thought about them as equations describing the instantaneous slope at any point of a curve. Then, we saw a few special cases. In this chapter, we will build on that background to do a few things. First, we explore what a derivative tells you about the curve it describes. We also look at how to think about “higher derivatives” — how the rate of change of a curve is itself changing. We can use this information to tell if a curve is coming to a maximum or minimum point, or perhaps changing direction. As a practical matter, we can use derivatives as a clue to how to draw a curve reasonably accurately.
The latter part of the chapter focuses ...
Get Make: Calculus now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.