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Calculus III (Practice Problems) / Partial Derivatives / Directional Derivatives   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Practice Problems

 Directional Derivatives

 

For problems 1 & 2 determine the gradient of the given function.

 

1.   [Solution]

 

2.   [Solution]

 

For problems 3 & 4 determine  for the given function in the indicated direction.

 

3.   in the direction of   [Solution]

 

4.  in the direction of   [Solution]

 

5. Determine  for  direction of . [Solution]

 

For problems 6 & 7 find the maximum rate of change of the function at the indicated point and the direction in which this maximum rate of change occurs.

 

6.  at   [Solution]

 

7.  at   [Solution]

 

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Calculus III (Practice Problems) / Partial Derivatives / Directional Derivatives    [Notes] [Practice Problems] [Assignment Problems]

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