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

Calculus I - Practice Problems
Derivatives Previous Chapter   Next Chapter Integrals
L'Hospital's Rule and Indeterminate Forms Previous Section   Next Section Differentials

For problems 1 & 2 find a linear approximation to the function at the given point.

 

1.  at  [Solution]

 

2.  at  [Solution]

 

3. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values. [Solution]

 

4. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values. [Solution]

 

5. Without using any kind of computational aid use a linear approximation to estimate the value of . [Solution]

 

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

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

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