http://www.ck12.org Chapter 3. Applications of Derivatives
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URL: http://www.ck12.org/flx/render/embeddedobject/553For more information on finding relative extrema using the first derivative(9.0), see Math Video Tutorials by James
Sousa, Finding relative extrema using the first derivative (6:18).
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URL: http://www.ck12.org/flx/render/embeddedobject/554Review Questions
In problems #1–2, identify the intervals where the function is increasing, decreasing, or is constant. (Units on the
axes indicate single units).
1.
2.
- Give the sign of the following quantities for the graph in #2.
a. f′(− 3 )
b. f′( 1 )
c. f′( 3 )
d. f′( 4 )
For problems #4–6, determine the intervals in which the function is increasing and those in which it is decreasing.
Sketch the graph.
- f(x) =x^2 −^1 x
- f(x) = (x^2 − 1 )^5
- f(x) = (x^2 − 1 )^4