Extra Practice - University of Arizona



DERIVATIVE RULES (3.1 – 3.4) NAME _________________________

Use the values in the table below to answer the following:

|[pic]|[pic] |[pic] |[pic] |[pic] |[pic] |[pic] |[pic] |

|0 |0 |1 |2 |-1 |4 |-5 |0 |

|1 |3 |2 |1 |3 |-2 |-4 |-4 |

|2 |1 |0 |3 |-2 |3 |2 |1 |

|3 |2 |3 |0 |4 |2 |-3 |2 |

1. Determine if [pic]has a horizontal tangent at [pic].

2. Determine if [pic]is increasing or decreasing at [pic].

3. Find the equation of the tangent line to [pic]at [pic].

4. Find [pic]if [pic].

5. Determine if [pic] is concave up or down at [pic].

6. Find the slope of [pic] at [pic].

7. Find [pic] for [pic]

8. Find the slope of the tangent line to [pic] at [pic].

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