Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...

This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and...

Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x^2 and examining the slope of the second line at a specific point, and again defining the limit as x approaches zero to get the slope...

By defining the formal definition of a derivative, f(x), Sal can find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.

Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x2 and examining the slope of the second line at a specific point. He continues defining the limit as x approaches zero to get the...

Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...

Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...

This video defines what it means for a line to be tangent to a circle. It also defines the term point of tangency and shows how the radius drawn to the point of tangency is perpendicular to the tangent line.

The second video dedicated to solving an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. This video uses algebra to determine where the arbitrary line y = mx + b could intersect the given circle...

Video demonstrates how to write the equation of a line tangent to a function at a given point. Also shows how to find the area between two curves using definite integrals. [8:13]

The fourth of five videos on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. This video combines equations from both the second and third videos to form a system of two equations in...

The first of five videos created to solve an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. In this video the circle and hyperbola are graphed and the instructor shows what the common tangent...

Video shows how to rewrite a differential equation as a derivative of a function and then use it to find the slope of the tangent line to a function at a given point. The tangent line is then used to estimate a future value of the...

The third video of five on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. This video uses algebra to determine where the arbitrary line y = mx + b could intersect the given hyperbola...

The final video in the series on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. The video first completes solving for the slope that began in the previous video and then substitutes...

Formally defines a circle and different parts of a circle. Identifies the proper notation for naming different parts of a circle. [11:12]

Students learn how to differentiate trigonometric functions and find the equation of the tangent line. The learning resource consists of video tutorials with detailed examples. In the left hand menu, click on Calculus, Derivatives,...

Using a tangent line to extrapolate a function from a known initial condition.

In this lesson students gain more intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2.