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Second Mathematica Assignment This particular assignment can be done on any computer with


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Second Mathematica Assignment

This particular assignment can be done on any computer with Mathematica installed on it. The CIS computer lab in Dupre W214 is one option. For that lab you need to use the account I gave you for this lab. (If you don't have the password, send me an email.) For other campus labs your password should be the same as for your Saint Vincent email address. To submit this homework, send me (david.carlson@email.stvincent.edu) an email message with your Mathematica document attached. If you have trouble with that, print your Mathematica document and give it to me.

In this assignment you are asked to use Mathematica to find the derivative of each of the following functions in two ways:

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).

Note that the two answers should end up matching! Use Together and other algebraic operations if need be to show that the two answers do indeed match.

Here are the functions to use:

1) f(x) = (2x + 3)^2 / (3x - 2)^4

2) g(x) = 3x(x2 + x + 1)1/2

3) q(x) = (2x + 1) / (2x - 1)1/2

4) r(x) = (3x + 2)^5 / (x^2 - 4x + 5)^3


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.


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