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Chapter 13 - Attaching Real World Meaning to Derivatives
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Lesson Summary:
In this lesson we discuss how a derivative is a rate of change and show how speed is a derivative.
Lesson Inputs:
Chapter 12 - Attaching Real World Meaning to Variables and Functions
Lesson Outputs:
Chapter 14 - Second Derivatives
GAIN AN ADVANTAGE
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Lesson Specific Problems
Determine the average speed of a car between an hour and a half and a half hour after it starts a trip when its distance-time function is $d(t)=t^3-15t^2+75t$.
Determine the instantaneous speed of a car three quarters of an hour after starting on a trip where its distance-time function is $d(t)=t^3-15t^2+75t$.