Learning the **chain rule** is best done through **practice**. After a few examples, you'll get the hang of it. You'll want it to become second-nature, because finding derivatives quickly and accurately is a necessary first step in much of the calculus still ahead. These examples might help you along. They start easier and get more difficult as you go.

Here are a few examples of taking derivatives of simpler compound functions:

**f(x) = cos(x**,^{3})**g(x) = tan(1/x)**, and**h(x) = e**^{3x-1}

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These are just a little bit more difficult. Notice that it's called the chain rule because we can use it to find derivatives of a function of a function of a function of ..., like **f(g(h(x))) = tan(ln(x ^{2}))**, where

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If you can find derivatives of functions like these, you'll have mastered the chain rule.

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