Each of the
following pictures shows the graph of a function, y = f(x).
On the same
axes, sketch a reasonable approximation to the graph of the derivative
of the function,
y = f'(x).
(You'll
probably have to print the page first, unless you can load it into a drawing
program.)
Then
look at the formulas and ask the calculator
to graph the original
function
and its derivative to see how close you
got.
Although
you can go to the
Y= screen and set y1(x)=f(x)
and y2(x)=d
(f(x),x), the graphing will go much faster if
you compute d
(f(x),x)
and store the answer in y2(x). Apparently
if you use y2(x)=d (f(x),x) the calculator recalculates the
derivative whenever it plots a point.
