** Next:** About this document ...

Exercises

1. Describe how the commands in the last set of Maple examples illustrate the definition of derivative as the limit of the slope of a secant line.

2. Specify the natural domain for each of the functions given below. Find the derivative of each of the functions both from the definition and using the D command.

*i*. *f*(*x*) = 2*x ^{2}*+1,

*ii*. *f*(*x*) = (*x ^{2}*+1)

3. Define the function

Determine the derivative for all values of
4. Determine the constants *a*, *b* and *c* that will make the following function differentiable

**DUE DATE: FEBRUARY 8 (in class).**

2/2/1999