Math 105-02: Calculus I: Reading Homework 2.3

1. The Derivative Function : how is this section different than the previous one?
   
   1. the Derivative Function : what is the important note that the book makes from example 1?
      
      1. definition : what is the definition of the derivative function?
         
      2. differentiability : what does it mean to say a function is differentiable?
         
   2. Significance : what does the sign of the derivative function tell us about a function?
      
   3. Calculation : if we are given a table of values for a function, how can we estimate the derivative function? how does the book improve its estimates for the derivative?
      
      1. formulas : what is the derivative of a constant function? linear function? power function?