| 1. |
Compute  .
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| 2. |
Compute  .
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| 3. |
Compute  .
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| 4. |
Compute  .
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| 5. |
Compute  .
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| 6. |
Compute  .
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| 7. |
Compute  .
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| 8. |
Compute  .
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| 9. |
Compute  .
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| 10. |
Let  . What is the average rate of change of  between  and  for any  ?
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| 11. |
Find the increment of the function  in the interval  .
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| 12. |
Let  . Let  . Find the corresponding  .
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| 13. |
Find the average rate of change for the function  in the interval  .
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| 14. |
Let  . Find the average rate of change of  in the interval  .
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| 15. |
Let  . Find  .
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| 16. |
A population of a certain bacteria grows according to the formula  , where  is measured in hours and  is measured in mg. Find the average rate of growth of the population of the bacteria between t=2 and t=4 hours.
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| 17. |
Compute  .
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| 18. |
Compute  .
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| 19. |
Compute  .
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| 20. |
Compute  .
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| 21. |
Let  . Compute  .
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| 22. |
Let  . Compute  .
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| 23. |
Let  . Compute  .
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| 24. |
Let  Is  continuous at  ?
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| 25. |
Let  Is  continuous at  ?
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| 26. |
Let  when  and  for some real number  . Is there a value of  which will make this function continuous at  ?
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| 27. |
Let  , for and for some real number . Is there a value of which will make this function continuous at ?
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| 28. |
Is the function  continuous at  ? Does this function have a derivative at  ?
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| 29. |
Let  be a function differentiable everywhere. Then for what  does the following equality hold ? 
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| 30. |
Let  be a function differentiable everywhere. Then for what  does the following equality hold ? 
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| 31. |
Compute the derivative of  using the definition of the derivative.
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| 32. |
Compute the derivative of  using the definition of the derivative.
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| 33. |
Compute the derivative of  using the definition of the derivative.
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| 34. |
What is the slope of the tangent line to the graph of the function  at ?
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| 35. |
What is the equation of the tangent line to the graph of  at ?
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| 36. |
Suppose the amount of some chemical in the blood of a patient is described by the formula  for  , where  is measured in minutes and  is measured in mg. Find the instantaneous rate of growth of the amount of the chemical at  .
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| 37. |
Differentiate  .
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| 38. |
Differentiate  .
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| 39. |
Differentiate  .
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| 40. |
Differentiate  .
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| 41. |
Differentiate  .
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