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Step-by-Step Examples 16-23
Solution 1
Start by defining G(X):
DEF G
X
= 2 X
3
X 2
Now press :
Press and to select
the numerator and
denominator, and then
press . This
leaves G(X) displayed:
Finally, apply the TABVAR
function:
TABVAR
and press a
number of times until
the variation table appears (shown above).
The first line of the variation table gives the sign of
according to x, and the second line the variations
of g (x). Note that for TABVAR the function is always
called F.
We can deduce, then, that g(x) increases over [0, 2].
If you had been in step-by-step mode, you would have
obtained:
Press to get the
result at the right.
g′ x()
F
2 X 3+⋅
X 2+
--------------------
=
hp40g+.book Page 23 Friday, December 9, 2005 1:03 AM