# ParametricDerivative Command

From GeoGebra Manual

- 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}.*