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differentiation

For problems 1  12 find the derivative of the given function.

1.  [Solution]

2.  [Solution]

3.  [Solution]

4.  [Solution]

5.  [Solution]

6.  [Solution]

7.  [Solution]

8.  [Solution]

9.  [Solution]

10.  [Solution]

11.  [Solution]

12.  [Solution]

13. Determine where, if anywhere, the function  is not changing. [Solution]

14. Determine where, if anywhere, the function  is not changing. [Solution]

15. Find the tangent line to  at . [Solution]

16. Find the tangent line to  at . [Solution]

17. The position of an object at any time t is given by . 

      (a) Determine the velocity of the object at any time t.

      (b) Does the object ever stop changing?

      (c) When is the object moving to the right and when is the object moving to the left?

[Solution]

18. Determine where the function  is increasing and decreasing. [Solution]

19. Determine where the function  is increasing and decreasing. [Solution]

20. Determine where, if anywhere, the tangent line to  is parallel to the line . [Solution]