: videos
: self-testing
: explanations / worked examples

pre-calculus topics

• Pre-Calculus

chain rule

• Differentiation Using the Chain Rule
• Chain Rule for Finding Derivatives
• Finding Derivatives Using the Chain Rule
• Using the Chain Rule — Harder Example

concavity (concave up & concave down)

• Concavity and Second Derivatives

continuity

• Continuity of Functions of One Variable
• Continuity — Part 1 of 2
• Continuity — Part 2 of 2

critical points

• Finding Critical Numbers - Example 1
• Finding Critical Numbers - Example 2

curve sketching

• Curve Sketching Using Calculus - Part 1 of 2
• Curve Sketching Using Calculus - Part 2 of 2

decreasing/increasing functions & local max/min

• Increasing/Decreasing + Local Max and Mins using First Derivative Test
• Increasing/Decreasing, Local Maximums/Minimums

derivatives

• see also: chain rule
• see also: graphing functions
• see also: implicit differentiation
• see also: product rule
• see also: quotient rule
• Basic Derivative Examples
• Sketching the Derivative of a Function
• More Complicated Derivative Examples
• More Complicated Derivative Examples
• Derivatives — Product + Chain Rule + Factoring

derivatives — limit definition

• Derivatives Using the Limit Definition
• Are You Ready for Calculus II? [Select "Differentiation"]
• Finding a Derivative Using the Definition of a Derivative

differentiation

• see: derivatives

exponents

• see also: logarithmic differentiation
• Are You Ready for Calculus III? [Select "Logs & Exponentials"]
• Are You Ready for College Algebra? [Select "Exponents"]
• Integration: The Exponential Form
• The Integration of Exponential Functions/
• General Exponential and Logarithmic Functions
• Logs and Exponentials

graphing functions

• Graphing of Functions Using First and Second Derivatives

implicit differentiation

• Implicit Differentiation Problems
• Implicit Differentiation Problems
• see also: related rates
• Using Implicit Differentiation to Find a Derivative
• More Implicit Differentiation Examples
• (Even) More Implicit Differentiation Examples

increasing functions

• see: decreasing/increasing functions & local max/min

l'Hôpital's rule (AKA l'Hospital's rule AKA l'Hopital's rule)

• Evaluating Limits Using l'Hôpital's Rule
• Drill — l'Hôpital's Rule
• Drill — l'Hôpital's Rule
• L'Hôpital's Rule and Indeterminate Quotients
• L'Hôpital's Rule — Indeterminate Products
• L'Hôpital's Rule — Indeterminate Differences
• L'Hôpital's Rule — Indeterminate Powers

limits

• see also: derivatives — limit definition
• see also: squeeze theorem
• Limits of Functions as x Approaches a Constant
• Limit Theorems
• Limits of Functions as x Approaches Infinity
• What is a Limit? Basic Idea of Limits
• Calculating a Limit by Factoring and Canceling
• Calculating a Limit by Getting a Common Denominator
• Calculating a Limit by Expanding and Simplifying
• Calculating a Limit by Multiplying by a Conjugate
• Limits Involving Absolute Value
• Calculus — Infinite Limits
• Limits at Infinity — Basic Idea and Shortcuts
• Calculating a Limit at Infinity with a Radical

local max/min (via 2nd derivative)

• see also: decreasing/increasing functions & local max/min
• Finding Local Maximums and Local Minimums using the Second Derivative Test

logarithmic differentiation

• Logarithmic Differentiation
• Logarithmic Differentiation — Basic Idea and Example
• Logarithmic Differentiation

logarithms

• Are You Ready for Calculus III? [Select "Logs & Exponentials"]
• Derivative of the Logarithmic Function
• Integration: The Basic Logarithmic Form
• Logarithmic Differentiation
• Logs and Exponentials
• Just Math Tutorials [Search for "logarithm"]
• Derivatives of Logarithmic Functions and Examples
• Properties of Logarithms — Logarithmic Functions

maxima/maximization/maximizing/maximum

• see: minimum & maximum function values

minima/minimization/minimizing/minimum

• see: minimum & maximum function values

minimum & maximum function values

• Maximum/Minimum Problems
• Maxima and Minima
• Optimization Problem #1
• Optimization Problem #2
• Optimization Problem #3 — Making a Rain Gutter

optimization

• see: minimum & maximum function values

product rule

• Differentiation Using the Product Rule
• The Product Rule for Derivatives
• Derivatives Using the Product Rule
• The Product Rule for Derivatives
• Derivatives Using the Quotient Rule
• The Quotient Rule

quotient rule

• Differentiation Using the Quotient Rule
• The Quotient Rule

related rates

• Related Rates Problem Using Implicit Differentiation
• Related Rates Using Cones
• Related Rates — A Point on a Graph
• Related Rates Involving Baseball

tangent line

• Finding the Equation of a Tangent Line

Pages with Additional Useful Links

• Calculus Problems and Solutions
• http://www.khanacademy.org/#Calculus (Numerous videos on various calculus topics)
• When Will I Use Math?