Bridging the gap between average and instantaneous rates of change
In short: Master a fundamental concept of AP Calculus AB. This instructional video from Khan Academy demonstrates how to calculate the average rate of change and explore the essential relationship between the first derivative and the instantaneous rate of change.
The video focuses on the mathematical connection between two distinct ways of measuring change. It guides learners through the process of calculating the average rate of change over an interval and comparing it to the first derivative, which represents the instantaneous rate of change.
As part of the 2025 Calculus AB curriculum, this lesson is designed to help students navigate free response challenges by understanding how these two rates of change relate to one another.
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Sources
- Summary by Intellect · source: Determining when first derivative equals average rate of change, 2025| AP Calculus AB | Khan Academy
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