Khan Academy: Differential Calculus: Taking Derivatives: Power Rule Introduction

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...

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]

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 lesson continuing an introduction to partial derivatives by looking at an example differentiated with respect to a different variable. A 3-D graph is included to help visualize the solution. Various examples without graphs are also...

Video lesson introducing partial derivatives by showing a 3-D coordinate system and solving an example. [11:11]

Video lesson on finding the equation of the tangent line of an exponential function at a certain value. Equation is checked by graphing. [8:07]

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]

A video that provides step-by-step instructions on how to find the limit of a function both graphically and numerically. Addresses the case where the function is undefined at a point. [8:58]

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