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The output is in a graphical format, showing the original function, F(X), the
derivative F’(X) right after derivation and after simplification, and finally a
table of variation. The table consists of two rows, labeled in the right-hand
side. Thus, the top row represents values of X and the second row represents
values of F. The question marks indicates uncertainty or non-definition. For
example, for X<0, LN(X) is not defined, thus the X lines shows a question mark
in that interval. Right at zero (0+0) F is infinite, for X = e, F = 1/e. F
increases before reaching this value, as indicated by the upward arrow, and
decreases after this value (X=e) becoming slightly larger than zero (+:0) as X
goes to infinity. A plot of the graph is shown below to illustrate these
observations:
Function DRAW3DMATRIX
This function takes as argument a n
×
m matrix,
Z
, = [ z
ij
], and minimum and
maximum values for the plot. You want to select the values of v
min
and v
max
so
that they contain the values listed in
Z
. The general call to the function is,
therefore, DRAW3DMATRIX(
Z
,v
min
,v
max
). To illustrate the use of this function
we first generate a 6
×
5 matrix using RANM({6,5}), and then call function
DRAW3DMATRIX, as shown below:
The plot is in the style of a FAST3DPLOT. Different views of the plot are shown
below: