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study guide 1

study guide 1 - Math 072 Study Guide for Test 1(Wednesday...

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Math 072 Study Guide for Test 1 (Wednesday, February 27) The following topics will be covered. Review the concepts, the examples given in class, and the problems assigned. Make sure that you know how to compute derivatives and integrals (especially, how to use the Chain Rule and the Substitution Method). Ask me if anything is unclear. My email is [email protected] (§7.1) Inverse Functions and Their Properties What is the of a function? What are its defining properties ( 3 , 4 , p. 387). What functions have an inverse function inverse? How can you tell if a function is one-to-one? If a function has an inverse, how do you find its formula (when possible)? How are the graphs of the function and its inverse related? How do you compute the derivative of the inverse function in terms of that of the original function? Ex: p. , 5, 6, 7, 13, 14, 15, 24, 27, 33, 34, 35, 37, 41. 391 Exponential Functions and The Number e (§7.2) What does the expression mean ( where and are two constants)? How does the graph of look like + +!
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