Calculus in 5 Hours by Dennis Jarecke

Author:Dennis Jarecke
Language: eng
Format: epub
ISBN: 9780999525401
Publisher: Six Sycamores, LLC

The beauty of the Mean-Value Theorem is that you can look at a picture and realize it's true. So here it is:

Now let me state it in words:

The Mean-Value Theorem

If you make a secant line on between the points and , then there is a point between and (let's call it ) where is the same slope as the secant line. In other words,

The steps for doing this are as follows:

Calculate the slope of the secant line with the formula

Find the derivative of

Set

Use High School algebra to find the value of . This is the point . (Note there could be more than one point where the slope equals the secant line slope.)

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