Manipulate.md

Manipulate

Manipulate(plot, {x, min, max})  

generate a JavaScript control for the expression plot which can be manipulated by a range slider {x, min, max}.

Manipulate(formula, {x, min, max, step})  

display generated formulas and define the steps in which the values for x should change.

Note: This feature is not available on all supported platforms.

Manipulate generates JavaScript output for the following JavaScript libraries:

• github.com/jsxgraph/jsxgraph
• github.com/paulmasson/math
• github.com/paulmasson/mathcell

Examples

In the console apps, this command shows an HTML page with a JavaScript plot control, where the value of the variable a can be manipulated by a slider in the range [0..10].

>> Manipulate(Plot(Sin(x)*Cos(1 + a*x), {x, 0, 2*Pi}), {a,0,10}) 

A 3D surface plot control:

>> Manipulate(Plot3D(Sin(a*x*y), {x, -1.5, 1.5}, {y, -1.5, 1.5}), {a,1,5})

Display a slider for the generated formulas:

>> Manipulate(Factor(x^n + 1), {n, 1, 5, 1})

Display buttons to change the plotted function:

>> Manipulate(Plot(f(x), {x, 0, 2*Pi}), {f, {Sin, Cos, Tan, Cot}})

With JSForm you can display the generated JavaScript form of the Manipulate function

>> Manipulate(Plot(Sin(x)*Cos(1 + a*x), {x, 0, 2*Pi}), {a,0,10}) // JSForm

Related terms

JSForm, ParametricPlot, Plot, Plot3D

Implementation status

• ✅ - full supported

Github

• Implementation of Manipulate