Assignment 5, due Tuesday, February 25.

Presentation exercises are marked with a *.²

Important note: The text gives the formula (x^n)' = n x^(n-1), and claims it holds for all real numbers n. This is in fact true when x is positive, as we will show in class, using the chain rule. For negative x, the formula doesn't even make sense for arbitrary real n; however it is still true when n = p/q is a rational number with p and q having no common factors and q odd.

Exercises from the text:

Section 3.5, Exercises 3, 6, 9,10,12, 15, 17*, 18, 24, 25*.

Review problems, page 157, Exercises 1, 4, 7, 10,13, 16, 19, 22, 25, 28*, 31, 34, 36, 37, 38,39, 42, 44, 45*, 47.

Practice Sheet I, Exercises 14,20, 21, 22.

Mathematica Exercise:

You can now use Mathematica to check your work on any of the exercises above, or you can use this web site to check your work (entering the function with Mathematica notation).

(There is no Mathematica work to be handed in this time.)