Symbolic Math Toolbox    
funtool
Function calculator.

Syntax

Description
funtool is a visual function calculator that manipulates and displays functions of one variable. At the click of a button, for example, funtool draws a graph representing the sum, product, difference, or ratio of two functions that you specify. funtool includes a function memory that allows you to store functions for later retrieval.

At startup, funtool displays graphs of a pair of functions, f(x) = x and
g(x) = 1. The graphs plot the functions over the domain [-2*pi, 2*pi]. funtool also displays a control panel that lets you save, retrieve, redefine, combine, and transform f and g.

Text Fields.    The top of the control panel contains a group of editable text fields.

f=
Displays a symbolic expression representing f. Edit this field to redefine f.
g=
Displays a symbolic expression representing g. Edit this field to redefine g.
x=
Displays the domain used to plot f and g. Edit this field to specify a different domain.
a=
Displays a constant factor used to modify f (see button descriptions in the next section). Edit this field to change the value of the constant factor.
funtool redraws f and g to reflect any changes you make to the contents of the control panel's text fields.

Control Buttons.    The bottom part of the control panel contains an array of buttons that transform f and perform other operations.

The first row of control buttons replaces f with various transformations of f.

df/dx
Derivative of f
int f
Integral of f
simple f
Simplified form of f, if possible
num f
Numerator of f
den f
Denominator of f
1/f
Reciprocal of f
finv
Inverse of f
The operators intf and finv may fail if the corresponding symbolic expressions do not exist in closed form.

The second row of buttons translates and scales f and the domain of f by a constant factor. To specify the factor, enter its value in the field labeled a= on the calculator control panel. The operations are

f+a
Replaces f(x) by f(x) + a.
f-a
Replaces f(x) by f(x) - a.
f*a
Replaces f(x) by f(x) * a.
f/a
Replaces f(x) by f(x) / a.
f^a
Replaces f(x) by f(x) ^ a.
f(x+a)
Replaces f(x) by f(x + a ).
f(x*a)
Replaces f(x) by f(x * a).
The first four buttons of the third row replace f with a combination of f and g.

f+g
Replaces f(x) by f(x) + g(x).
f-g
Replaces f(x) by f(x)-g(x).
f*g
Replaces f(x) by f(x) * g(x).
f/g
Replaces f(x) by f(x) / g(x).
The remaining buttons on the third row interchange f and g.

g=f
Replaces g with f.
swap
Replaces f with g and g with f.
The first three buttons in the fourth row allow you to store and retrieve functions from the calculator's function memory.

Insert
Adds f to the end of the list of stored functions.
Cycle
Replaces f with the next item on the function list.
Delete
Deletes f from the list of stored functions.
The other four buttons on the fourth row perform miscellaneous functions:

Reset
Resets the calculator to its initial state.
Help
Displays the online help for the calculator.
Demo
Runs a short demo of the calculator.
Close
Closes the calculator's windows.

See Also
ezplot, syms


 fourier horner