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

Calculus I - Practice Problems
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For problems 1  3 compute the differential of the given function.

 

1.  [Solution]

 

2.  [Solution]

 

3.  [Solution]

 

4. Compute dy and  for  as x changes from 3 to 3.01. [Solution]

 

5. Compute dy and  for  as x changes from 6 to 5.9.  [Solution]

 

6. The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5 inches.  What is the maximum possible error in the volume of the cube if we use this value of the length of the side to compute the volume? [Solution]

 

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Linear Approximations Previous Section   Next Section Newton's Method
Derivatives Previous Chapter   Next Chapter Integrals

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

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