Difference between revisions of "ImplicitDerivative Command"

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

Latest revision as of 08:24, 9 October 2017


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

CAS Syntax

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}.
Note:
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