This demonstration plots secant and tangent lines of a function, and computes the difference quotient.

You can change the following inputs in the demonstration.

- The function \(f(x)\) can be entered in a box.
- The number \(a\) can be entered in a box.
- The interval in the \(x\)-axis on which the function is plotted can be changed by sliders.
- The interval in the \(y\)-axis which is visible can be changed by sliders.
- The number \(h\) can be selected from a list.
- The choice of \(h\) being positive or negative can be selected from a list.

To start the demonstration, click on the button "Launch the Demonstration Now."

To change the inputs in the demonstration, note the following.

- When you type something in an input box, the demonstration won't recompute until you hit Return on your keyboard.
- When you drag a slider back and forth, the demonstration won't recompute until you let go of the mouse button.
- There may be a few second delay when the demonstration recomputes, depending on the speed of your internet connection.

Ethan Bloch

Professor of Mathematics

Bard College

- Office: Albee 317
- Phone: (845) 758-7266
- Email: bloch "at" bard "dot" edu
- Website: faculty.bard.edu/bloch/

Office Hours:

- Monday: 4:00 – 5:30
- Wednesday: 2:00 – 3:30
- Thursday: 10:30 – 12:00
- Or by appointment