Here is an example of how to help your students practice their derivative rules in a different way. Tomorrow another different approach.

Let f be a differentiable function. The table below gives values of f and g their first derivatives at selected values of x

x |
-2 | 0 | 2 | 4 | 6 |

-8 | 0 | –2 | 2 | 5 | |

2 | 4 | –3 | –1 | 0 | |

2 | 4 | 5 | 6 | 5 | |

1 | 2 | 4 | 3 | 2 |

- If find
- If find
- If find
- If find
- If find
- Approximate
- Write an equation of the line tangent to
*g*at the at the point where*x*= 0.

Answers:

1. 9, 2. -1/3, 3. -2, 4. -3, 5. -5, 6. 1/2, 7. *y*=4+2(*x*-0) or *y* = 4+2*x *

How can you find the tangent to g at the origin, when it doesn’t go through the origin?

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Whoops again. See reworded question.

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Hi. Can you help me with #5? How is it q(x)? I’m confused. Thanks.

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My mistake. Thanks for catching this. I have corrected the answer to #5

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