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Access: | !Ì | ( Ìis the | |
Flags: | Symbolic Constants |
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| Level 1/Argument 1 | Level 1/Item 1 |
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| → | '̟' |
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| → | 3.14159265359… |
| e, i, MAXR, |
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See also: | MINR, →Qπ |
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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 |
Flags: | Numerical Results |
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Input/Output:
Level 2/Argument 1 | Level 1/Argument 2 |
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'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 | |
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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
For x ≥ 253.1190554375 or n < 0, ! causes an overflow exception (if flag
In algebraic syntax, ! follows its argument. Thus the algebraic syntax for the factorial of 7 is 7!. For
Full Command and Function Reference