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Calculus I (Assignment Problems) / Applications of Derivatives / Linear Approximations   [Notes] [Practice Problems] [Assignment Problems]

Calculus I - Assignment Problems
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L'Hospital's Rule and Indeterminate Forms Previous Section   Next Section Differentials

 Linear Approximations

For problems 1  4 find a linear approximation to the function at the given point.

 

1.  at  

 

2.  at  

 

3.  at  

 

4.  at  

 

5. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values.

 

6. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values.

 

7. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values.

 

For problems 8  10 estimate the given value using a linear approximation and without using any kind of computational aid.

 

8.  

 

9.  

 

10.  

 

L'Hospital's Rule and Indeterminate Forms Previous Section   Next Section Differentials
Derivatives Previous Chapter   Next Chapter Integrals

Calculus I (Assignment Problems) / Applications of Derivatives / Linear Approximations    [Notes] [Practice Problems] [Assignment Problems]

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