8 MODELING EXPONENTIAL GROWTH AND DECAY

This chapter is an interlude between learning about derivatives and integrals, and using them together to do interesting things. In this chapter, we take some of the ideas about limits in Chapter 2 and apply them to good ways of approximating derivatives and integrals in computer programs (and thus in the models that form the basis of our 3D prints). We will show some ways of computing a derivative or integral even if you do not know how to get an equation for it. We also will give you some intuition about when you can use some estimating techniques and when they are likely to fail.

The models in some of the previous chapters were already using some of these techniques, but now we will look at the problems ...

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