Difference between revisions of "ImplicitDerivative Command"

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;ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent  Variable> ]
 
;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, y, x]</nowiki></code> yields ''-<math>\frac{y}{x}</math>''.</div>}}

Revision as of 14:48, 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, y, x] yields -\frac{y}{x}.
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