For problems 1  6 evaluate the given limit.

 

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For problems 6  10 differentiate the given function.

 

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16. Find the tangent line to  at .

 

17. Find the tangent line to  at .

 

18. Find the tangent line to  at .

 

19. The position of an object is given by  determine all the points where the object is not changing.

 

20. The position of an object is given by  determine where in the interval  the object is moving to the right and moving to the left.

 

21. Where in the range  is the function  is increasing and decreasing.

 

22. Where in the range  is the function  is increasing and decreasing.

 

23. Where in the range  is the function  is increasing and decreasing.

 

24. Using the definition of the derivative prove that .

 

25. Prove that .

 

26. Prove that .

 

27. Prove that .