Includes index.

Chapter 1: Algebra Review The slope and equation of a line Finding x-intercepts Solving equations Quadratic functions The vertex The maximum/minimum value of a quadratic function Increasing/decreasing intervals Some important exponent properties Chapter 2: Average rate of change Limits Chapter 3: Definition of derivative Properties of the derivative Instantaneous rates of change The tangent line The Power Rule The Product Rule The Quotient Rule The Chain Rule Layering different formulas Chapter 5: Applications Optimizing functions Maximizing revenue and profit, minimizing cost, and other optimizing problems Chapter 6: The second derivative Concavity Another method for optimizing functions Chapter 7: Implicit differentiation Chapter 8: Rational functions Limits and asymptotes Chapter 9: Using calculus to sketch graphs Graphs of polynomial functions

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