First, take the limit of the difference quotient by using the Limit operation in Mathematica. Use the pattern shown in class (found at http://cis.stvincent.edu/carlsond/ma109/Derivative/derivative.html) on how to do derivatives in Mathematica.
Second, use Mathematica to find the derivative directly by using the prime operation on the function and simplify the result if need be (perhaps by using the Together or Simplify operations).
For the square roots, do not use a power of .5 as decimals are typically used for approximate values and can give you strange results. Either use a power of (1/2) with the parentheses as shown or use the square root symbol from the Basic Math Assistant palette. Example: (x^2 + 3x) ^ (1/2) Put your name in as a comment at the top of the Mathematica document. (Use Alt 7 to get text formatting, then type your name.) There is no online quiz for this assignment. Remember to email me your completed Mathematica document.