The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...

The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...

Students are given the level curve of a function and are asked to sketch the vector showing the greatest rate of increase of the function. The practice exercise is available in PDF format.

[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...

The tangent to a curve is always found at a certain point along the curve. Often you will be asked to find the normal to a curve at a point. View an example on this site.

The interactive applet explores the vertical tangent.

[Free Registration/Login may be required to access all resource tools.] In this lessons students will be defining and calculating cross products and normal vectors. Students examine guided notes, review guided practice, watch...

[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...

[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between discrete and non-discrete functions. Students examine guided notes, review guided practice, watch instructional...