Table of Contents
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 functionsChapter 10: Exponents and Logarithm functionsUsing log properties to simplify differentiation Chapter 11: Integration
- The antiderivative
- Integration formulas
- The area under the curve
- More integration formulas
- Integration techniques
Chapter 12: Applications of the integral