We started today's class by deriving the
                                                                        differenc...
The slope of the secant line through points P and Q is given by
           this formula:




Title: Sep 27-8:14 PM (2 of 10)
We then moved on to do Example 1 on the book which is on page 90.


    Let the function f be defined by

    a) Find the ...
b) Find the equation of the corresponding secant line.




Title: Sep 27-8:41 PM (4 of 10)
c) Plot the graph of f and the secant line




Title: Sep 27-8:48 PM (5 of 10)
We then talked about the instantaneous rate of
               change. If the average rate of change has a
               l...
This is the traditional notation for the
                                  limiting value which is read as `` the limit
  ...
We then worked on another example.
                   2
   Let f(x)=x

  a) Find the slope of the tangent line to the grap...
b) Find the equation of the tangent line


                                             The tangent line passes through th...
Thanks everyone that is the scribe for today. Remember to study
                                   tonight for tomorrow`s ...
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  1. 1. We started today's class by deriving the difference quotient. It is the average rate of change of y with respect to x the given interval Graphically, it is the slope of the secant line connecting points P and Q. Title: Sep 27-7:52 PM (1 of 10)
  2. 2. The slope of the secant line through points P and Q is given by this formula: Title: Sep 27-8:14 PM (2 of 10)
  3. 3. We then moved on to do Example 1 on the book which is on page 90. Let the function f be defined by a) Find the average rate of change of f over the interval Title: Sep 27-8:24 PM (3 of 10)
  4. 4. b) Find the equation of the corresponding secant line. Title: Sep 27-8:41 PM (4 of 10)
  5. 5. c) Plot the graph of f and the secant line Title: Sep 27-8:48 PM (5 of 10)
  6. 6. We then talked about the instantaneous rate of change. If the average rate of change has a limiting value as the interval decreases in size then it is called the instantaneous rate of change of outputs with respect to inputs. Graphically, it is represented by a tangent line. Title: Sep 27-8:57 PM (6 of 10)
  7. 7. This is the traditional notation for the limiting value which is read as `` the limit as x approaches zero of the difference quotient``. Title: Sep 27-9:05 PM (7 of 10)
  8. 8. We then worked on another example. 2 Let f(x)=x a) Find the slope of the tangent line to the graph of f at (2,12) Now, as h gets smaller 3h approaches zero and the limiting value is 12. Title: Sep 27-9:11 PM (8 of 10)
  9. 9. b) Find the equation of the tangent line The tangent line passes through the point (2,12) with the slope of 12. Title: Sep 27-9:28 PM (9 of 10)
  10. 10. Thanks everyone that is the scribe for today. Remember to study tonight for tomorrow`s test on the first unit. Our homework for tonight is Exercise 2.2 questions number 2,10,12,24 and all odd numbers. Title: Sep 27-9:33 PM (10 of 10)

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