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Chapter 3: Q. 91 (page 312)
Use L鈥橦opital鈥檚 rule to prove that every exponential growth function dominates the power function
Every exponential growth function dominates the power function
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Use the second-derivative test to determine the local extrema of each function in Exercises . If the second-derivative test fails, you may use the first-derivative test. Then verify your algebraic answers with graphs from a calculator or graphing utility. (Note: These are the same functions that you examined with the first-derivative test in Exercises of Section .)
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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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.
Explain the difference between two antiderivatives of the function.
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.
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