160 Using mathematical functions
Math functions by category
Syntax Each function’s definition includes its syntax, that is, the
exact order and spelling of a function’s name, its
delimiters (punctuation), and its arguments. Note that the
syntax for a function does not require spaces.
Calculus functions
This category contains the numerical derivative and
integral functions, as well as the Where function (|).
Differentiates expression with respect to variable then
substitutes value for variable and evaluates the result.
(expression, variable=value)
Example:
(x
2
-x,x=3) returns 5
Integrates expression from lower to upper limits with
respect to the variable of integration. To find the definite
integral, both limits must have numeric values (that is, be
numbers or real variables).
(expression, variable, lower, upper)
Example:
(x
2
-x,x,0,3) returns 4.5
| Evaluates expression where each given variable is set to
the given value. Defines numeric evaluation of a symbolic
expression.
expression|(variable1=value1, variable2=value2,...)
Example:
3*(X+1)|(X=3) returns 12
Complex number functions
These functions are for complex numbers only. You can
also use complex numbers with all trigonometric and
hyperbolic functions, and with some real-number and
keyboard functions. Enter complex numbers in the form
∂
∂
∂