2.10 The Mean Value Theorem
By the end of your studying, you should know:
On-screen applet instructions:
The tangent line, when you find it, will be solid and not dotted.
ExamplesAt 7 p.m., a car is traveling at 50 miles per hour. Ten minutes later, the car has slowed to 30 miles per hour. Show that at some time between 7 and 7:10 the car's acceleration is exactly 120, in units of miles per hours squared.
AppletsMean Value Theorem
VideosSee short videos of worked problems for this section.
ExercisesSee Exercises for 2.10 The Mean Value Theorem (PDF).
Work online to solve the exercises for this section, or for any other section of the textbook.
Resources on the WebInformation on Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel