Difference between revisions of "ImplicitDerivative Command"

Latest revision as of 09:24, 9 October 2017

ImplicitDerivative( <f(x, y)> ): Gives the implicit derivative of the given expression.; Example:
ImplicitDerivative(x + 2 y) yields -0.5.

ImplicitDerivative( <f(x, y)> ): Gives the implicit derivative of the given expression.; Example:
ImplicitDerivative(x + 2 y) yields -\frac{1}{2}.

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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@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
-{{command|CAS}}
+{{command|cas=true|function}}
-;ImplicitDerivative[ <Expression>, <Dependent Variable>, <Independent Variable> ]
+;ImplicitDerivative( <f(x, y)> )
-: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, x, y]</nowiki></code> yields ''-<math>\frac{x}{y}</math>''.</div>}}
+:{{example|1=<div><code><nowiki>ImplicitDerivative(x + 2 y)</nowiki></code> yields ''-0.5''.</div>}}
+==CAS Syntax==
+;ImplicitDerivative( <f(x, y)> )
+:Gives the [[w:Implicit derivative|implicit derivative]] of the given expression.
+:{{example|1=<div><code><nowiki>ImplicitDerivative(x + 2 y)</nowiki></code> yields ''-<math>\frac{1}{2}</math>''.</div>}}
+;ImplicitDerivative( <Expression>, <Dependent Variable>, <Independent  Variable> )
+: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>}}
 {{note| 1=<div>See also [[Derivative Command]].</div>}}