# Difference between revisions of "ParametricDerivative Command"

From GeoGebra Manual

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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> |

{{command|function}} | {{command|function}} | ||

− | ;ParametricDerivative | + | ;ParametricDerivative( <Curve> ) |

− | :Returns a new | + | :Returns a new [[Curves|parametric curve]] given by ''<math> \left( x(t), \frac{y'(t)}{ x'(t)} \right) </math>''. |

− | :{{example|1=<code>ParametricDerivative | + | :{{example|1=<code>ParametricDerivative(Curve(2t, t², t, 0, 10))</code> returns the parametric curve ''(x(t) = 2t, y(t) = t)''. The curve given as argument to the command is the function ''f(x) = <math> \frac{x²}{4}</math>'', and the result is the derivative of that function: ''f'(x) = <math> \frac{x}{2}</math>.}} |

## Latest revision as of 09:41, 9 October 2017

- ParametricDerivative( <Curve> )
- Returns a new parametric curve given by
*\left( x(t), \frac{y'(t)}{ x'(t)} \right)*. **Example:**`ParametricDerivative(Curve(2t, t², t, 0, 10))`

returns the parametric curve*(x(t) = 2t, y(t) = t)*. The curve given as argument to the command is the function*f(x) = \frac{x²}{4}*, and the result is the derivative of that function:*f'(x) = \frac{x}{2}.*