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}.

Note:

@@ Line 3: / Line 3: @@
 ;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 ''-0.5''.</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>}}
+:{{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>}}
+:{{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>}}