Difference between revisions of "Derivative Command"

Revision as of 14:07, 7 September 2011

Derivative[ <Function> ]: Returns the derivative of the function.
Derivative[ <Function>, <Number n> ]: Returns the n^th derivative of the function.
Derivative[ <Curve> ]: Returns the derivative of the curve.; Note: It only works for parametric curves.
Derivative[ <Curve>, <Number n> ]: Returns the n^th 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[ <Function f> or <Expression f> ]

Returns derivative of f with respect to x.

Derivative[ <Function f> or <Expression f>, <Variable a> ]

Returns derivative of f with respect to a.

Derivative[ <Function f> or <Expression f>, <Variable a>, <Number n> ]

Returns the n^th derivative of f with respect to a.

Example:

Derivative[x^2] yields "2 x".

Assuming you've declared f as f(x):=a*x^3
Derivative[f(x)] yields 3 a x².
Derivative[f(x), a] yields x³.
Derivative[f(x), x, 2] yields 6 a x.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 {{command|function}}
-; Derivative[<Function>]: Returns the derivative of the function.
+;Derivative[ <Function> ]
-; Derivative[<Function>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the function.
+:Returns the derivative of the function.
-; Derivative[<Curve>]: Returns the derivative of the curve.
+;Derivative[ <Function>, <Number n> ]
-:{{Note|It only works for parametric curves.}}
+:Returns the ''n''<sup>th</sup> derivative of the function.
-; Derivative[<Curve>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the curve.
+;Derivative[ <Curve> ]
-:{{Note|It only works for parametric curves.}}
+:Returns the derivative of the curve.
+:{{note|It only works for parametric curves.}}
-{{Note| 1=You can use <code>f'(x)</code> instead of <code>Derivative[f]</code>, or <code>f<nowiki>''</nowiki>(x)</code> instead of <code>Derivative[f, 2]</code>, and so on.}}
+;Derivative[ <Curve>, <Number n> ]
+:Returns the ''n''<sup>th</sup> derivative of the curve.
+:{{note|It only works for parametric curves.}}
+{{note| 1=You can use <code><nowiki>f'(x)</nowiki></code> instead of <code><nowiki>Derivative[f]</nowiki></code>, or <code><nowiki>f''(x)</nowiki></code> instead of <code><nowiki>Derivative[f, 2]</nowiki></code>, and so on.}}
 ==CAS Syntax==
 In [[CAS View]] only following syntax is supported:
+;Derivative[ <Function f> or <Expression f> ]
-; Derivative[<Function f> or <Expression f>]: Returns derivative of  ''f'' with respect to ''x''.
+:Returns derivative of  ''f'' with respect to ''x''.
-; Derivative[<Function f> or <Expression f>, <Variable a>]: Returns derivative of ''f'' with respect to ''a''.
+;Derivative[ <Function f> or <Expression f>, <Variable a> ]
-; Derivative[<Function f> or <Expression f>, <Variable a>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of ''f'' with respect to ''a''.
+:Returns derivative of ''f'' with respect to ''a''.
+;Derivative[ <Function f> or <Expression f>, <Variable a>, <Number n> ]
-: {{Example|1=&nbsp;
+:Returns the ''n''<sup>th</sup> derivative of ''f'' with respect to ''a''.
-:* <code>Derivative[x^2]</code> gives you "2x". <br />  <br /> Assuming you've declared ''f'' as <code>f(x):=a*x^3</code>
+:{{example|1=<div>
-:* <code>Derivative[f(x)];</code> gives you ''3a x²''.
+:* <code><nowiki>Derivative[x^2]</nowiki></code> yields "2 x". <br />  <br /> Assuming you've declared ''f'' as <code>f(x):=a*x^3</code>
-:* <code>Derivative[f(x), a];</code> gives you ''x³''.
+:* <code><nowiki>Derivative[f(x)]</nowiki></code> yields ''3 a x<sup>2</sup>''.
-:* <code>Derivative[f(x), x, 2];</code> gives you ''6a x''.}}
+:* <code><nowiki>Derivative[f(x), a]</nowiki></code> yields ''x<sup>3</sup>''.
+:* <code><nowiki>Derivative[f(x), x, 2]</nowiki></code> yields ''6 a x''.</div>}}

Difference between revisions of "Derivative Command"

Revision as of 14:07, 7 September 2011

Derivative

Command Categories (All commands)

CAS Syntax