Plot the tangent line to the graph of the function

at the point **x = 8** together with the graph of this function.

Using the TI-86 graphing calculator:

- Press the GRAPH key and then pick
**y(x)=**by pressing the F1 key. - If necessary, keep pressing F4 key until only
**y1=**appears on the screen. - Be sure that
**PLOTS 1, 2**and**3**are turned-off. - Type in
**ln(x - 6)**and press the ENTER key.

- The
**WINDOW**settings for the graph above is**[0, 12.6]**×**[-31/16, 31/16]**:Go to the

**WINDOW**menu by pressing 2nd M2. - Press the MORE key so that
**MATH**appears in the menu. - Press the F1 key to choose
**MATH**. - Press the MORE key twice so that
**TANLN**appears in the menu. - Press the F3 key to choose
**TANLN**. - There is a blinking cursor on the graph; using the arrow
keys move this cursor along the graph so that the
**x**value, which is indicated at the lower left hand corner of the screen is as close to**8**as possible. - Press the ENTER key to draw the tangent line.
- The TI-86 will draw the tangent line and display its slope across the bottom of the screen.
Constructed with the help of Chris O'Brien.