Difference between revisions of "ImplicitDerivative Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|cas=true|function}} | {{command|cas=true|function}} | ||
| − | ;ImplicitDerivative | + | ;ImplicitDerivative( <f(x, y)> ) |
:Gives 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>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;ImplicitDerivative | + | ;ImplicitDerivative( <f(x, y)> ) |
:Gives 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 ''-<math>\frac{1}{2}</math>''.</div>}} | :{{example|1=<div><code><nowiki>ImplicitDerivative[x + 2 y]</nowiki></code> yields ''-<math>\frac{1}{2}</math>''.</div>}} | ||
| − | ;ImplicitDerivative | + | ;ImplicitDerivative( <Expression>, <Dependent Variable>, <Independent Variable> ) |
:Gives 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>}} | ||
{{note| 1=<div>See also [[Derivative Command]].</div>}} | {{note| 1=<div>See also [[Derivative Command]].</div>}} | ||
Revision as of 17:16, 7 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:
See also Derivative Command.
