Difference between revisions of "Derivative Command"
From GeoGebra Manual
Line 6: | Line 6: | ||
:Returns the ''n''<sup>th</sup> derivative of the function with respect to the main variable. | :Returns the ''n''<sup>th</sup> derivative of the function with respect to the main variable. | ||
;Derivative[ <Function>, <Variable> ] | ;Derivative[ <Function>, <Variable> ] | ||
− | :Returns the partial derivative of the function with respect to the variable. | + | :Returns the partial derivative of the function with respect to the given variable. |
:{{example|1=<div><code><nowiki>Derivative[x³+3x y, x]</nowiki></code> yields ''3x²+3y''.</div>}} | :{{example|1=<div><code><nowiki>Derivative[x³+3x y, x]</nowiki></code> yields ''3x²+3y''.</div>}} | ||
;Derivative[ <Function>, <Variable>, <Number n> ] | ;Derivative[ <Function>, <Variable>, <Number n> ] | ||
− | :Returns the ''n''<sup>th</sup> partial derivative of the function with respect to the variable. | + | :Returns the ''n''<sup>th</sup> partial derivative of the function with respect to the given variable. |
:{{example|1=<div><code><nowiki>Derivative[x³+3x y, x, 2]</nowiki></code> yields ''6x''.</div>}} | :{{example|1=<div><code><nowiki>Derivative[x³+3x y, x, 2]</nowiki></code> yields ''6x''.</div>}} | ||
;Derivative[ <Curve> ] | ;Derivative[ <Curve> ] |
Revision as of 13:03, 14 October 2011
- Derivative[ <Function> ]
- Returns the derivative of the function with respect to the main variable.
- Derivative[ <Function>, <Number n> ]
- Returns the nth derivative of the function with respect to the main variable.
- Derivative[ <Function>, <Variable> ]
- Returns the partial derivative of the function with respect to the given variable.
- Example:
Derivative[x³+3x y, x]
yields 3x²+3y.
- Derivative[ <Function>, <Variable>, <Number n> ]
- Returns the nth partial derivative of the function with respect to the given variable.
- Example:
Derivative[x³+3x y, x, 2]
yields 6x.
- Derivative[ <Curve> ]
- Returns the derivative of the curve.
- Note: It only works for parametric curves.
- Derivative[ <Curve>, <Number n> ]
- Returns the nth derivative of the curve.
- Note: It only works for parametric curves.
Note: You can use
f'(x)
instead of Derivative[f]
, or f''(x)
instead of Derivative[f, 2]
, and so on.CAS Syntax
In CAS View only following syntax is supported:
- Derivative[ <Expression f> ]
- Returns derivative of f with respect to the main variable.
- Example:
Derivative[x^2]
yields 2 x.
- Example:
Derivative[t^3]
yields 3 t2.
- Derivative[ <Expression f>, <Variable a> ]
- Returns derivative of f with respect to a.
- Example:
Derivative[a x^3, a]
yields x3.
- Derivative[ <Expression f>, <Variable a>, <Number n> ]
- Returns the nth derivative of f with respect to a.
- Example:
Derivative[a x^3, x, 2]
yields 6 a x.