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 (a+h,f(a+h)) is (f(a+h)-f(a))/h
(a) The slope of the secant
line converges to the slope of the secant line if h goes to 0.
Step 1: Open the
maplet
tutorial-1B
Step 2: Click "new
function", You will see a formula of a function,
Now
you
have
to evaluate
(1)
f(a)
(2)
f(a+h) (Be careful
ah^2+bh+c should be type as a*h^2+b*h+c.)
(3)
(f(a+h)-f(a))/h
(4)
Simplify (f(a+h)-f(a))/h
(5)
Take
h to 0 in previous expression
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.