What is Instantaneous Change?
Grade 10•45 minutes
Learning Objective
I can differentiate between average rate of change and instantaneous rate of change and explain their significance in calculus.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
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1. Explain the difference between average rate of change and instantaneous rate of change. Use an example of a car trip to illustrate your explanation.
2. Consider the function f(x) = x² + 1. Calculate the average rate of change of f(x) over the interval [1, 3].
3. Estimate the instantaneous rate of change of the function g(x) = x³ at x = 2 by calculating the average rate of change between the points (2, g(2)) and (2.01, g(2.01)).
...and 4 more questions
Educational Video
1A.1. Introducing Calculus: Can Change Occur at an Instant?
Adam Cox