What is Instantaneous Change?
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Objective
I can differentiate between average rate of change and instantaneous rate of change and explain their significance in calculus.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Explain the difference between average rate of change and instantaneous rate of change. Use an example of a car trip to illustrate your explanation.
Consider the function f(x) = x² + 1. Calculate the average rate of change of f(x) over the interval [1, 3].
Part 3 of 3
Exit ticket
Quick comprehension check
“Explain the difference between average rate of change and instantaneous rate of change. Give an example of a situation where knowing the instantaneous rate of change is more useful than knowing the average rate of change. ”
Sample answer included in the free materials
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