# Chapter 3: Derivatives

- Page ID
- 10329

[ "article:topic-guide", "authorname:openstax" ]

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- 3.7: The Chain Rule
- Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for \(h(x)=f(g(x)),\) \(h′(x)=f′(g(x))g′(x).\) We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If \(h(x)=(g(x))^n\),then \(h′(x)=n(g(x))^{n−1}g′(x)\).

- 3.E: Both 3.3 and 3.4 Exercises
- These are homework exercises to accompany Chapter 3 of OpenStax's "Calculus" Textmap.