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Calculus I (Practice Problems) / Applications of Derivatives / The Mean Value Theorem   [Notes] [Practice Problems] [Assignment Problems]

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Paul
August 7, 2018


Calculus I - Practice Problems
Derivatives Previous Chapter   Next Chapter Integrals
The Shape of a Graph, Part II Previous Section   Next Section Optimization

For problems 1 & 2 determine all the number(s) c which satisfy the conclusion of Rolle’s Theorem for the given function and interval.

 

1.  on  [Solution]

 

2.  on  [Solution] 

 

For problems 3 & 4 determine all the number(s) c which satisfy the conclusion of the Mean Value Theorem for the given function and interval.

 

3.  on  [Solution] 

 

4.  on  [Solution]

 

5. Suppose we know that  is continuous and differentiable on the interval ,  that  and that .  What is the largest possible value for ?  [Solution]

 

6. Show that  has exactly one real root. [Solution]

 

Problem Pane
The Shape of a Graph, Part II Previous Section   Next Section Optimization
Derivatives Previous Chapter   Next Chapter Integrals

Calculus I (Practice Problems) / Applications of Derivatives / The Mean Value Theorem    [Notes] [Practice Problems] [Assignment Problems]

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