flag –2 or flag –3 is set (to return numerical results), then evaluating 'SIN(π)' returns the numerical approximation –2.06761537357E–13.

Access:

( Ìis the left-shift of the #key).

Flags:

Symbolic Constants (–2), Numerical Results (–3)

 

Input/Output:

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

'̟'

 

 

3.14159265359…

 

e, i, MAXR,

 

 

See also:

MINR, →Qπ

 

 

 

 

 

(Derivative)

Type: Function

Description: Derivative Function: Takes the derivative of an expression, number, or unit object with respect to a specified variable of differentiation.

When executed in stack syntax, ∂ executes a complete differentiation: the expression 'symb1' is evaluated repeatedly until it contains no derivatives. As part of this process, if the variable of differentiation name has a value, the final form of the expression substitutes that value substituted for all occurrences of the variable.

The algebraic syntax for ∂ is '∂name(symb1'). When executed in algebraic syntax, ∂ executes a stepwise differentiation of symb1, invoking the chain rule of differentiation — the result of one evaluation of the expression is the derivative of the argument expression symb1, multiplied by a new subexpression representing the derivative of symb1’s argument.

 

If ∂ is applied to a function for which the calculator does not provide a derivative, ∂ returns a new

 

function whose name is der followed by the original function name.

Access:

…¿

(¿is the right-shift of the Tkey).

Flags:

Numerical Results (–3)

 

Input/Output:

Level 2/Argument 1

Level 1/Argument 2

 

Level 1/Item 1

 

 

 

 

'symb1'

'name'

'symb2'

z

'name'

0

x_unit

'name'

0

Example:

In Radians

mode, the command sequence 'ˆX(SIN(Y))' EVAL returns 0. When Y has

 

the value 'X^2', the command sequence 'SIN(Y)' 'X' ˆ returns

 

'COS(X^2)*(2*X)'. The differentiation has been executed in stack syntax, so that all of

 

the steps of differentiation have been carried out in a single operation.

See also:

TAYLOR, ∫, Σ

 

 

 

!(Factorial)

Type: Function

Description: Factorial (Gamma) Function: Returns the factorial n! of a positive integer argument n, or the gamma function Γ(x+1) of a non-integer argument x.

For x ≥ 253.1190554375 or n < 0, ! causes an overflow exception (if flag –21 is set, the exception is treated as an error). For non-integer x –254.1082426465, ! causes an underflow exception (if flag –20 is set, the exception is treated as an error).

In algebraic syntax, ! follows its argument. Thus the algebraic syntax for the factorial of 7 is 7!. For non-integer arguments x, x! = Γ(x + 1), defined for x > –1 as:

Full Command and Function Reference 3-291