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

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Paul
August 7, 2018


Calculus I - Practice Problems
Derivatives Previous Chapter   Next Chapter Integrals
Linear Approximations Previous Section   Next Section Newton's Method

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]

 

Problem Pane
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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