Another way to practice the derivative rules.

The graph below shows two piecewise defined functions, *f* and *g*, each consisting of two line segments.

- If calculate
- If calculate
- If calculate
- If calculate
- Write the equation of the line tangent to the graph of at the point .

There are a lot more like these that you can ask from the same graph; or make up your own graph and questions.

Answers: 1. -17/3, 2. 6, 3. 75, 4. -1/3, 5. *y* = 2 + 6(*x* + 4) (Corrected 10-3-12 19:10)

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Hi Lin,

Thank you for posting this and the derivatives of tabular functions. We used the graphing one today in class and I think there are a couple of typos. I think for number 1 you mean h'(3) and the answer would be -17/3?

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Typos. you are correct. Thanks for catching that. I have corrected the post.

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