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) = 2x2+1,

ii. f(x) = (x2+1)5

3. Define the function

Determine the derivative for all values of x for which it exists. Justify your result.

4. Determine the constants a, b and c that will make the following function differentiable

DUE DATE: FEBRUARY 8 (in class).

Christine Marie Bonini
2/2/1999