Business Calculus Demystified (Paperback)

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 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