Given the function

graph the functions **f** and the 1st, 5th, and 10th degree taylor polynomials of **f**.

Using Derive:

- Prepare the program for graphics.
- If the first menu item is
*Algebra*then press . - Press for
*Author*. - Enter the function
cos x - Press twice to get the graph.
- Press once.
- Then press to get to the calculus menu.
- Then press to get to the taylor polynomial function.
- Now enter 1, since we are editing equation #1.
- Then press .
- Enter x for the variable and then press .
- Now enter 1, since we first want to see the taylor polynomial with only 1 term.
- Then press .
- Lastly, press to simplify the operation.
- Then press .
- Again press twice to get the graph.
- Press once.
- Then press to get to the calculus menu.
- Then press to get to the taylor polynomial function.
- Now enter 1, since we are editing equation #1.
- Then press .
- Enter x for the variable and then press .
- Now enter 5, since we first want to see the taylor polynomial with only 5 terms.
- Then press .
- Lastly, press to simplify the operation.
- Then press .
- Again press twice to get the graph.
- Press once.
- Then press to get to the calculus menu.
- Then press to get to the taylor polynomial function.
- Now enter 1, since we are editing equation #1.
- Then press .
- Enter x for the variable and then press .
- Now enter 5, since we first want to see the taylor polynomial with only 5 terms.
- Then press .
- Lastly, press to simplify the operation.
- Then press .
- Again press twice to get the graph.

This document was originally written by *Richard Rupp*.