Math 105-02: Calculus I: Reading Homework 4.1

1. Short-Cuts to Differentiation : what is this chapter concerned with? what useful notation will we use in it?
   
   1. Powers and Polynomials :
      
      1. Constant Multiples : how does the book determine the constant multiple derivative rule? what is this rule?
         
      2. Sums and Differences : how does the book investigate the sum/difference derivative rule? what is the rule?
         
      3. Power Rule : what is the power rule for differentiation? how is it justified for integer values of n?
         
      4. Polynomials : how are the rules developed above used for polynomials?