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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).