Rates of Change & Related Rates
Study Guide Overview
This study guide covers the meaning of a derivative in context, focusing on its interpretation as a rate of change. It explains how to determine the units of the derivative, interpret it in exam questions, and distinguish between a function representing an amount versus a rate. The guide includes worked examples involving real-world scenarios like depth of water and volume change, along with practice questions and a glossary of key terms like derivative, instantaneous rate of change, and slope of the tangent.
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Question 1 of 9
What does the derivative of a function, , represent? 🤔
The area under the curve of
The rate of change of with respect to
The inverse of
The y-intercept of