Difference between revisions of "ParametricDerivative Command"

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(Created page with "<noinclude>{{Manual Page|version=4.2}}{{PAGENAME}}</noinclude>{{betamanual|version=4.2}} {{command|function}} ;ParametricDerivative[ <Curve x=x(...")
 
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<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>{{betamanual|version=4.2}}
 
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{{command|function}}
;ParametricDerivative[ <Curve x=x(t), y=y(t)> ]
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;ParametricDerivative[<Curve x=x(t), y=y(t)>]
:Returns a new Curve given by ( x(t), y'(t) / x'(t) )
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:Returns a new Curve given by ''(x(t), <math> \frac{y'(t)}{ x'(t)}</math>)''.
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:{{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


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}).
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