Chapter 3: Q. 84 (page 276)
In Exercises 83–86, use the given derivative to find any local extrema and inflection points of f and sketch a possible graph without first finding an formula for f .
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Sketch careful, labeled graphs of each function f in Exercises 63–82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of and examine any relevant limits so that you can describe all key points and behaviors of f.
Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points.
For the graph of f in the given figure, approximate all the values x ∈ (0, 4) for which the derivative of f is zero or does not exist. Indicate whether f has a local maximum, minimum, or neither at each of these critical points.
For each set of sign charts in Exercises 53–62, sketch a possible graph of f.
Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these.
f (x) = (x − 1.7) (x + 3)
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