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Chapter 3: Q. 55 (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 39- 50. Then verify your algebraic answers with graphs from a calculator or graphing utility.
Explain the difference between two antiderivatives of the function.
For each set of sign charts in Exercises 53鈥�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 鈭� 1.7) (x + 3)
Determine whether or not each function f in Exercises 53鈥�60 satisfies the hypotheses of the Mean Value Theorem on the given interval [a, b]. For those that do, use derivatives and algebra to find the exact values of all c 鈭� (a, b) that satisfy the conclusion of the Mean Value Theorem.
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