Chapters+3+and+4+Study+Guide

Chapters+3+and+4+Study+Guide - • Where is the function...

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M119 Chapters 3 and 4 Study Guide for Test 3 Differentiate functions that include powers, constant multipliers, logarithms, exponentials, products, quotients and compositions of functions (chain rule). Do obvious simplifications like combining like terms and multiplying constants together. There are many good problems in Chapter 3. Find the second derivative of a function. Find the derivative of a function at a particular point. Write the equation of the line tangent to the graph of a function at a particular point. Be able to use both notations for the derivative and the second derivative. Given a function, find the following information about the function and then use this information to draw a good sketch of the graph of the function.
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Unformatted text preview: • Where is the function increasing/decreasing? • Where is the function concave up/concave down? • What are the critical points? • Where does the function have local max/minimum points? • What are the local max/min values of the function? • What are the global max/min values of the function? • What are the inflection points? Expect one big question where I ask for everything and a good sketch of the graph. Also expect some smaller questions where I ask for critical points and max/min points or points of inflection. Application problems where you are asked to maximize profit or revenue or minimize cost (see section 4.4 problems 16, 17, 20, 21, 22, 23)....
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