Math 105-02: Calculus I: Reading Homework 2.2

1. The Derivative at a Point : how does this section differ from the previous?
   
   1. Average Rate of Change : what is a difference quotient? how is it related to an average rate of change?
      
      1. average and absolute changes : what distinction to we make between the average rate of change and the absolute change in a function?
         
   2. The Derivative : how is the derivative related to the average rate of change?
      
      1. notation : what notation do we use for the derivative of f(x) at a? what is the mathematical definition of the derivative?
         
      2. estimation : how might we estimate the derivative of a function at a point?
         
      3. visualization : how can we visualize the average rate of change of a function? the derivative?