This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.

This site offers a problem and solution to finding all possible slopes for a line tangent to a circle given a particular equation of a circle. Could be an interesting challenge for students.

Learn about the tangent definition in geometry, tangent geometry, tangent to a circle, tangent line equation. Check-out the solved examples for better understanding and try your hand at the tangent line calculator or solving a few...

Explains what "tangent" is and its role in the right triangle. Slope of a line is investigated and tangent for special common angles is given. Angle of elevation and angle of depression are also covered here.

Learners use a given graph to investigate the average rate of change and slope of the tangent line. The practice problem is available in PDF format.

Finding the slopes and equations of the tangent and normal lines of curves is demonstrated using derivatives. Interactive examples are provided.

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 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...

The examples presented here demonstrates finding the derivative of a function using "h" rather than "delta x" notation. Graphs are included as a visual aid.

An introduction to solving trigonometric equations, including finding general and particular solutions. The connection between the tangent function and the slope of a line is also covered. Includes several examples and graphs.

[Free Registration/Login may be required to access all resource tools.] This lesson introduces the natural number, e, and how to use it.

This site offers numerous activities for middle school and high school students to explore using Geometer's Sketch Pad.