Difference between revisions of "ImplicitDerivative Command"

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<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>{{betamanual|version=4.2}}
{{command|function}}
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{{command|cas=true|function}}
;ImplicitDerivative[ <Expression>, <Independent Variable>, <Dependent Variable> ]
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;ImplicitDerivative[ <Expression> ]
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:Yields the [[w:Implicit derivative|implicit derivative]] of the given expression.
 +
:{{example|1=<div><code><nowiki>ImplicitDerivative[x + 2y]</nowiki></code> yields ''-0.5''.</div>}}
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{{note| 1=<div>See also [[Derivative Command]].</div>}}
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==CAS Syntax==
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;ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent  Variable> ]
 
:Yields the [[w:Implicit derivative|implicit derivative]] of the given expression.
 
:Yields the [[w:Implicit derivative|implicit derivative]] of the given expression.
 
:{{example|1=<div><code><nowiki>ImplicitDerivative[x^2 + y^2, x, y]</nowiki></code> yields ''-<math>\frac{x}{y}</math>''.</div>}}
 
:{{example|1=<div><code><nowiki>ImplicitDerivative[x^2 + y^2, x, y]</nowiki></code> yields ''-<math>\frac{x}{y}</math>''.</div>}}
{{note| 1=<div>See also [[Derivative Command]].</div>}}
 

Revision as of 14:39, 31 August 2012


ImplicitDerivative[ <Expression> ]
Yields the implicit derivative of the given expression.
Example:
ImplicitDerivative[x + 2y] yields -0.5.
Note:

CAS Syntax

ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent Variable> ]
Yields the implicit derivative of the given expression.
Example:
ImplicitDerivative[x^2 + y^2, x, y] yields -\frac{x}{y}.
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