Difference between revisions of "ParametricDerivative Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>{{betamanual|version=4.2}} | <noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>{{betamanual|version=4.2}} | ||
{{command|function}} | {{command|function}} | ||
| − | ;ParametricDerivative[ <Curve x=x(t), y=y(t)> ] | + | ;ParametricDerivative[<Curve x=x(t), y=y(t)>] |
| − | :Returns a new Curve given by ( x(t), y'(t) / x'(t) ) | + | :Returns a new Curve given by ''(x(t), <math> \frac{y'(t)}{ x'(t)}</math>)''. |
| + | :{{example|1=<code>ParametricDerivative[Curve[2t, t², t, 0, 10]]</code> (which equates to function ''f(x)=<math> \frac{x²}{4}</math>)'' returns the parametric curve ''(x(t)=2t,y(t)=t)'' (which equates to the derivative of the function ''f'(x)=<math> \frac{x}{2}</math>). }} | ||
Revision as of 15:05, 10 July 2012
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This page is about a feature that is supported only in GeoGebra 4.2. |
- ParametricDerivative[<Curve x=x(t), y=y(t)>]
- Returns a new Curve given by (x(t), \frac{y'(t)}{ x'(t)}).
- Example:
ParametricDerivative[Curve[2t, t², t, 0, 10]](which equates to function f(x)= \frac{x²}{4}) returns the parametric curve (x(t)=2t,y(t)=t) (which equates to the derivative of the function f'(x)= \frac{x}{2}).
