funtool (Symbolic Math Toolbox)

Function calculator

Syntax

```
funtool
```

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