The Derivative
Slopes
Derivatives
Rules for Differentiation
Rate of Change
Applications of the Derivative
Graphs and the relation with derivatives
Graph Sketching
Optimization
Techniques of Differentiation
Product and Quotient Rules
Chain Rule
Inverse Function Rule
Exponential and Logarithm Functions
Definition and Properties of Exponential Functions
Derivatives of Exponential Functions, Natual Base
Definition and Properties of the Natual Logarithm
Derivative of the Natural Logarithm
Applications of Exponential and Logarithm Functions
Exponential Growth and Decay
Compound Interest
Integration
Antidifferentiation
Area
Approximation by Riemann Sums
Fundamental Theorems of Calculus
Applications of the Definite Integral
Functions of Several Variables
Partial Derivatives
Optimization
Lagrange Multipliers
Least Squares