Khan Academy: Differential Calculus: Limit Examples (Part 1)

What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific time. He...

A continuation of the video Limit Examples (Part 1), also from the Khan Academy. Addresses the case where the limit of a function is equal to infinity. Examples are explained both graphically and tabularly. [6:58]

Video focuses on complex functions that require substantial simplification before determining the limit. Examples include a radical function and a trigonometric function. [15:02]

Video addresses limits of rational functions that can be simplified by factoring. Also provides examples of how to find the limit of a function as x approaches infinity. Includes link to practice problems. This video is also found in the...

Video of three example problems dealing with limits. Addresses the case in which the left- and right-hand limits do not agree. Uses the limit as x approaches 0 of (sin x)/x to determine limits of other functions. [13:09]

Video lesson expanding the simple definition of a limit into the epsilon-delta definition of a limit by looking at a specific graph of a function. [12:48]

Video lesson introducing the product rule and its formal definition. Examples of solving for the derivative of functions using the product rule and chain rule are shown. [8:49]

Video lesson about rules for finding the derivative by generalizing examples. Includes the power rule and addition rule and uses these to find the derivative of different polynomial functions. [9:50]

Video first explains and gives examples of identity matrices. Then explains what an inverse matrix is and shows how to calculate the inverse of a 2x2 matrix. [14:14]

The last video in a three-part series on the Binomial Theorem from the Khan Academy. This segment illustrates how the Binomial Theorem is directly related to combinatorics using (a + b)^3 as an example. Students can clearly see how a...