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Outline
USC Math 122 Calculus for Business and Social Sciences
Function Basics
Common Nonlinear Functions
The Derivative Concept
The Derivative Function
Derivatives & Function Behavior
Integration Basics
USC Math 122 Calculus for Business and Social Sciences
Author:
Will McGuffey
Topic:
Calculus
Table of Contents
Function Basics
Linear Functions
Functions and Function Notation
Average Rate of Change
Function Behavior
Common Nonlinear Functions
Exponential Functions
Logarithmic Functions
Power Functions
Combining Functions with Operations
Function Composition
The Derivative Concept
The Derivative at a Point
The Difference Quotient
Instantaneous Rate of Change
Linearization & Differentials
Linear Approximation
The Derivative Function
The Derivative Function
Graphs of Derivatives
Basic Differentiation Rules
Derivatives & Function Behavior
Critical Points & First Derivatives
Second Derivatives
Second Derivatives & Function Behavior
Extreme Value Theorem
Integration Basics
Introduction to Integration
Riemann Sums (Estimating Definite Integrals)
Antiderivatives
Next
Linear Functions
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