Business Calculus Demystified Book

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

Graphs of rational functions

Chapter 10: Exponents and Logarithm functions
Using 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