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

Calculus III - Assignment Problems

 Directional Derivatives

 

For problems 1  4 determine the gradient of the given function.

 

1.   

 

2.   

 

3.   

 

4.   

 

For problems 5  8 determine  for the given function in the indicated direction.

 

5.   in the direction of   

 

6.  in the direction of   

 

7.  in the direction of    

 

8.  in the direction of     

 

9. Determine  for  direction of .

 

10. Determine  for  direction of .

 

For problems 11  13 find the maximum rate of change of the function at the indicated point and the direction in which this maximum rate of change occurs.

 

11.  at   

 

12.  at   

 

13.   at   

 

14.  Given , , ,  and  determine the value of  .

 

15.  Given , , ,  and  determine the value of  .

 


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

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