Object: Learn how to use the slope of the secant line to approximate the slope of the secant line

                     (a) The slope of the secant line through (a,f(a)) and (b,f(b)) is  (f(b)-f(a))/(b-a)
                      (a) The slope of the secant line converges to the slope of the secant line if b goes to a.

Step 1: Open the maplet
                   tutorial-1A
                  
  


Step 2: Click "New Graph", You will see a graph of a function,
             the value of a and f(a).

             Now you can key in the b value.
             (a) Let try b=a+0.1.  You should see the b value.
             In the last row, you can use Ctrl C to copy the value of f(b) and f(a)
             and Ctrl V to paste the value of f(b) and f(a)
             to get (f(b)-f(a))/0.001.  Click  Decimal to get the value.
             (Be careful about the sign.)
            Then copy and paste the value to msec and click check to see if your answer is correct or not.

            (b) Now try b=a+0.001 and repeat previous step.
                  You should notice that the right most part of the screen should show the value of msec with different b.

            (c) Try  b=a+ 0.00001
and repeat previous step.
    
                  (d) Try  to guess the slope of the tangent line by entering "msec"

                  If your answer are all green then show it to your TA.

                  If your answer are red somewhere then talk to your neighbor or ask TA for help.