Difference between revisions of "ParametricDerivative Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> |
{{command|function}} | {{command|function}} | ||
;ParametricDerivative[ <Curve> ] | ;ParametricDerivative[ <Curve> ] | ||
:Returns a new [[Curves|parametric curve]] given by ''<math> \left( x(t), \frac{y'(t)}{ x'(t)} \right) </math>''. | :Returns a new [[Curves|parametric curve]] given by ''<math> \left( x(t), \frac{y'(t)}{ x'(t)} \right) </math>''. | ||
:{{example|1=<div><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>.</div>}} | :{{example|1=<div><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>.</div>}} | ||
Revision as of 09:02, 3 August 2015
- 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}.
