Chapter 2: Q. 27 (page 166)
Sketch a graph of the associated slope function ffor each functionf in Exercises 25鈥30.

Short Answer
The graph of the function is:

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Chapter 2: Q. 27 (page 166)
Sketch a graph of the associated slope function ffor each functionf in Exercises 25鈥30.

The graph of the function is:

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Suppose f is ant cubic polynomial function prove that coefficients of f a, b, c, d can be expressed in terms of values of f(x) and its derivatives at the point x=2
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.

In the text we noted that if was a composition of three functions, then its derivative is . Write this rule in 鈥減rime鈥 notation.
For each function graphed in Exercises 65-68, determine the values of at which fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.

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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