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  3. ZuAI AP College Board Calculus AB/BC
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The Chain Rule

Hannah Hill

Hannah Hill

6 min read

Study Guide Overview

This study guide covers the Chain Rule for differentiating composite functions. It explains how to identify inner and outer functions, apply the chain rule using both Leibniz and function notations, and work through practice problems. The guide also emphasizes common mistakes and provides practice questions for the final exam.

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Question 1 of 9

🚀 Given f(x)=x3f(x) = x^3f(x)=x3 and g(x)=2x+1g(x) = 2x + 1g(x)=2x+1, what is the inner function in the composite function f(g(x))f(g(x))f(g(x))?

x3x^3x3

2x+1

(2x+1)3(2x+1)^3(2x+1)3

3x^2