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.