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  3. ZuAI AP College Board Calculus AB/BC
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Question BankQuestion Bank

The Product Rule

Hannah Hill

Hannah Hill

6 min read

Next Topic - The Quotient Rule
Study Guide Overview

This study guide covers the product rule for finding derivatives. It includes the formula, a step-by-step walkthrough, practice problems, and common mistakes. It emphasizes the importance of this rule for the AP Calculus exam, providing practice multiple choice and free-response questions with answers and a scoring rubric.

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Previous Topic - Derivatives of cos x, sinx, e^x, and ln xNext Topic - The Quotient Rule

Question 1 of 8

If f(x)=xsin⁡(x)f(x) = x \sin(x)f(x)=xsin(x), what is f′(x)f'(x)f′(x)?

cos⁡(x)\cos(x)cos(x)

xcos⁡(x)x \cos(x)xcos(x)

sin⁡(x)+xcos⁡(x)\sin(x) + x \cos(x)sin(x)+xcos(x)

xcos⁡(x)+sin⁡(x)x \cos(x) + \sin(x)xcos(x)+sin(x)