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Calculus I (Assignment Problems) / Derivatives / Product and Quotient Rule   [Notes] [Practice Problems] [Assignment Problems]

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Paul
August 7, 2018


Calculus I - Assignment Problems
Limits Previous Chapter   Next Chapter Applications of Derivatives
Differentiation Formulas Previous Section   Next Section Derivatives of Trig Functions

 Product and Quotient Rule

For problems 1  7 use the Product Rule or the Quotient Rule to find the derivative of the given function.

 

1.  

 

2.  

 

3.  

 

4.  

 

5.  

 

6.  

 

7.  

 

For problems 8  12 use the fact that , , , ,  and  determine the value of the indicated derivative.

 

8.  

 

9.  

 

10.  

 

11. If  determine .

 

12. If  determine .

 

13. Find the equation of the tangent line to  at .

 

14. Find the equation of the tangent line to  at .

 

15. Determine where  is increasing and decreasing.

 

16. Determine where  is increasing and decreasing.

 

17. Determine where  is increasing and decreasing.

 

18. Determine where  is increasing and decreasing.

 

19. Using the Product Rule for two functions prove the Product Rule for three functions.

 

 

 

Differentiation Formulas Previous Section   Next Section Derivatives of Trig Functions
Limits Previous Chapter   Next Chapter Applications of Derivatives

Calculus I (Assignment Problems) / Derivatives / Product and Quotient Rule    [Notes] [Practice Problems] [Assignment Problems]

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