Difference between revisions of "Derivative Command"
From GeoGebra Manual
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{{command|cas=true|function}} | {{command|cas=true|function}} | ||
;Derivative[ <Function> ] | ;Derivative[ <Function> ] | ||
− | :Returns the derivative of the function. | + | :Returns the derivative of the function with respect to the main variable. |
;Derivative[ <Function>, <Number n> ] | ;Derivative[ <Function>, <Number n> ] | ||
− | :Returns the ''n''<sup>th</sup> derivative of the function. | + | :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 variable. | ||
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In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
;Derivative[ <Expression f> ] | ;Derivative[ <Expression f> ] | ||
− | :Returns derivative of ''f'' with respect to | + | :Returns derivative of ''f'' with respect to the main variable. |
:{{example|1=<div><code><nowiki>Derivative[x^2]</nowiki></code> yields ''2 x''.</div>}} | :{{example|1=<div><code><nowiki>Derivative[x^2]</nowiki></code> yields ''2 x''.</div>}} | ||
− | :{{example| 1=<div><code><nowiki>Derivative[ | + | :{{example| 1=<div><code><nowiki>Derivative[t^3]</nowiki></code> yields ''3 t<sup>2</sup>''.</div>}} |
;Derivative[ <Expression f>, <Variable a> ] | ;Derivative[ <Expression f>, <Variable a> ] | ||
:Returns derivative of ''f'' with respect to ''a''. | :Returns derivative of ''f'' with respect to ''a''. |
Revision as of 11:33, 7 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 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 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.