Texas Instruments TITANIUM TI-89 User Manual

Page 247

Symbolic Manipulation

247

Delayed Simplification for Certain Built-In Functions

Usually, variables are automatically simplified to their lowest possible level before they
are passed to a function. For certain functions, however, complete simplification is
delayed until after the function is performed.

Functions that Use Delayed Simplification

Functions that use delayed simplification have a required var argument that performs the
function with respect to a variable. These functions have at least two arguments with the
general form:

function(expression, var

[, ... ]

)

Note:

Not all functions that use a var argument use delayed simplification.

For a function that uses delayed simplification:

1. The

var

variable is simplified to the lowest level at which it remains a variable (even if

it could be further simplified to a non-variable value).

2. The function is performed using the variable.

3. If

var

can be further simplified, that value is then substituted into the result.

For example:

solve(x^2

2=0,x)

d(x^2

2,x)

‰

(x^2

2,x)

limit(x

2,x,5)