Difference between revisions of "ParametricDerivative Command"
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;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= | + | :{{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}.