Exercises for Sample Maple Write-Up

1. Find the right- and left-hand limits of the following function at x=1. Also, plot the function and relate your limits to the graph.

   

   Does exist? Explain your reasoning.

2. For the following function,

   

   determine whether is differentiable everywhere. Describe how you obtained your results.

3. Find the derivatives of the following functions using Maple, both from the definition and using the D command.

   1. 

   2. 

4. Use Maple to solve your Group Activity problem.

   on

   Using the midpoint of the interval as a first approximation , find three successive approximations and by the Bisection Method. Also, determine how many total steps are required to guarantee an approximation within .01 of a root.