Chapter 2: Q. 32 (page 166)
Each graph in Exercises 31鈥34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.

Short Answer
The graph is:

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Chapter 2: Q. 32 (page 166)
Each graph in Exercises 31鈥34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.

The graph is:

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Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
If Katie walked at miles per hour for minutes and then sprinted at miles an hour for minutes, how fast would Dave have to walk or run to go the same distance as Katie did at the same time while moving at a constant speed? Sketch a graph of Katie鈥檚 position over time and a graph of Dave鈥檚 position over time on the same set of axes.

Use the definition of the derivative to find for each function in Exercises 34-59
State the chain rule for differentiating a composition of two functions expressed
(a) in 鈥減rime鈥 notation and
(b) in Leibniz notation.
Find the derivatives of the functions in Exercises 21鈥46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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