Assignment 4, due Tuesday, February 18.

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 3.1 : Exercises 1,4,7,14,17,24,32,38,47*,49*.

Section 3.2: Exercises 1,4,7,10,19,21, 26,28,34*,35.

Section 3.3: Exercises 1,4,7,10,21,22*,24,27,40.

Section 3.4: Exercises 2,3,7,12,14,22,24*,29,36,37*.

 

Mathematica Exercise:

Work through the 4th Mathematica tutorial: Using Mathematica for graphing and calculating derivatives.

(There is no Mathematica work to be handed in this time, but you can use Mathematica to check your computations of derivatives.)