Fundamental Properties of Differentiation
Michael Green
4 min read
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Study Guide Overview
This study guide covers the product rule for finding the derivative of two functions multiplied together. It defines the rule, provides worked examples with functions like and , and offers practice questions. The guide also emphasizes the difference between the product rule and the chain rule for composite functions, and includes a glossary of terms like product rule and composite function.
#Derivatives of Products
#Table of Contents
- Introduction
- Product Rule
- Exam Tip
- Worked Examples
- Practice Questions
- Glossary
- Summary and Key Takeaways
#Introduction
Understanding how to differentiate the product of two functions is crucial in calculus. This guide will cover the product rule, provide clear examples, and include practice questions to solidify your understanding.
#Product Rule
The product rule is used to find the derivative of the product of two functions.
#Definition
If , then the derivative is given by:
Alternatively, if $y = u \c...
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