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Chapter 3: Q. 53 (page 311)
Calculate each of the limits in Exercises 49鈥�64. Some of these limits are made easier by considering the logarithm of the limit first, and some are not.
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Use the first-derivative test to determine the local extrema of each function in Exercises . Then verify your algebraic answers with graphs from a calculator or graphing utility.
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Use the definition of the derivative to find f' for each function f.
Sketch careful, labeled graphs of each function f in Exercises 63鈥�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.
f (x) = (x 鈭� 1.7) (x + 3)
Use a sign chart for to determine the intervals on which each function is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.
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