Calculating Limits by Factoring
Calculating Limits by Multiplying by the Conjugate
Limits Absolute Value Functions
Limits at Infinity of a Rational Function
Limits at Infinity Square Root Functions
Finding a Derivative Using the Definition
Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 Example 7 Example 8
Derivatives Using Product Rule Polynomial Functions
Derivatives Using Product Rule Trigonometric Functions
Derivatives Using Quotient Rule Polynomial Functions
Derivatives Using Quotient Rule Trigonometric Functions
Shortcut For Finding Derivative of a Square Root Function
Implicit Differentiation
Examples 1 - 2 Example 3 Example 4 (Second Derivative)
Derivatives of Natural Logarithms
Derivatives of Exponential Functions (Base not e)
Derivatives of Exponential Functions (Base is e)
Related Rates
Example 1 Example 2 Example 3 Example 4
The Mean Value Theorem (Video Coming Soon)
Absolute Maximum and Minimum
Relative Maximum and Minimum / Intervals of Increasing and Decreasing
Example 1 Example 2 Example 3 Example 4
Concavity and Inflection Points
L'Hospital's Rule
Examples 1 & 2 (Indeterminate Quotients) Examples 3 & 4 (Indeterminate Quotients & Products) Example 5 (Indeterminate Powers)
Example 6 (Indeterminate Powers) Example 7 (Indeterminate Differences)
Optimization Problems
Find Two Numbers Whose Product is a Minimum
Find Two Numbers Whose Sum of Squares is a Minimum
Find the Minimum Distance Between Two Graphs
Find the Smallest Perimeter of Rectangle Given the Area
Find the Largest Area of a Rectangle Divided into Four Pens
Open Top Box of Largest Volume from Square Piece of Cardboard
Minimize Surface Area of a Box Given the Volume
Find Largest Volume of a Box Given Amount of Material
Find a Point on a Curve That is Closest to a Given Point
Find Dimensions of Rectangle With Largest Area Inscribed in a Circle
Norman Window Find Largest Area
Largest Area of a Poster With Margins
Find Cylinder With Largest Volume Inscribed in a Sphere
Newton's Method (Video Coming Soon)
Approximating Area Under A Curve Using Rectangles and Left Endpoints
Approximating Area Under A Curve Using Rectangles and Right Endpoints
Approximating Area Under A Curve Using Rectangles and Midpoints
Definition of the Definite Integral
Evaluating Definite Integrals Using The Definition Of The Integral Example 1
Evaluating Definite Integrals Using The Definition Of The Integral Example 2
The Fundamental Theorem of Calculus Part 1
Integration Using the Power Rule
Integration Using U-Substitution (Polynomials)
Integration Using U-Substitution (Trigonometric Functions)
Area Between Curves
Example 1 Example 2 Example 3 Example 4 Example 5
Washer Method
Example 1 Example 2 Example 3 Example 4
Shell Method
Example 1 Example 2 Example 3 Example 4
Work Applications
Work Required to Lift and Object
Work Required to Pull a Rope to the Top of a Building
Work Required to Stretch a Spring - Hooke's Law
Work Required to Pump Water From an Inverted Cone
Work Required to Pump Water From a Circular Swimming Pool
Arc Length
Finding Moments and Center of Mass Given Points
Center of Mass / Centroid of a Region Given a Function
Integration by Parts
Example 1 Example 2 Example 3 Example 4 Example 5
Trigonometric Integrals
Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 Example 7 Example 8
Trigonometric Substitution
Example 1 Example 2 Example 3 Example 4
Partial Fractions
Example 1 (Linear) Example 2 (Linear) Example 3 (Linear & Quadratic) Example 4 (Quadratic)
Trapezoidal Rule
The Trapezoidal Rule For Approximating Integrals Example 1
The Trapezoidal Rule For Approximating Integrals Example 2
Trapezoidal Rule - Error Bound Example 1
Trapezoidal Rule - Error Bound Example 2
Trapezoidal Rule - Error Bound Example 3
Simpson's Rule
Simpsons Rule For Approximating Integrals Example 1
Simpsons Rule For Approximating Integrals Example 2
Simpson's Rule - Error Bound Example 1
Simpson's Rule - Error Bound Example 2
Simpson's Rule - Error Bound Example 3
Improper Integrals
Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 Example 7