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The Calculus Lifesaver by Adrian Banner

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CHAPTER 6 ______________________________

How to Solve Differentiation Problems

Now we’ll see how to apply some of the theory from the previous chapter to solve problems involving differentiation. Finding derivatives from the formula is possible but cumbersome, so we’ll look at a few rules that make life a lot easier. All in all, here’s what we’ll tackle in this chapter:

• finding derivatives using the definition;

• using the product, quotient, and chain rules;

• finding equations of tangent lines;

• velocity and acceleration;

• finding limits which are derivatives in disguise;

• how to differentiate piecewise-defined functions; and

• using the graph of a function to draw the graph of its derivative.

6.1 Finding Derivatives Using the Definition ...

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