Difference between revisions of "ImplicitDerivative Command"

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

Revision as of 10:20, 17 September 2012


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

CAS Syntax

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