Function plotter y = f(x)

This function plotter displays standard functions, their first and second derivatives and their antiderivative (indefinite integral). The base function y = f(x) may contain up to three continuously variable parameters a, b, c, and one integer variable p.

At the start of the simulation a polynomial of 5th degree is shown, which contains all parameters a, b, c, p, besides some constant numbers.

y=-ax5-0.2bx2+(c+1)x+p-1

in java syntax: y=-a*x^5-0.2*b*x^2+(c+1)*x+p-1

Exact coordinates show up at the lower left corner when a point of the curve is marked by the mouse pointer.

Default defines a, b, p as 1, c as 0. You can vary the parameters by four sliders, p as integer in steps of 1.

The resulting base function is shown in red. Check boxes at the bottom of the window allow you to calculate or hide the inverse function (beige) together with the bisecting line (gray) of the coordinate system, the 1. derivative (magenta), the 2. derivative (green) and the antiderivative (indefinite integral) in blue.

The interval of the independent variable x-max< x < xmax is defined in a text field, the interval of the dependent variable y-max < y < ymax in a second one. A third text field defines the initial value y0 of the antiderivative. All text fields are editable; you can input any value. When the curve of a function is not visible, its coordinates may be outside of the defined ranges, and you should adjust those accordingly.

The function formula is editable. You may change it, or formulate your own one. As the plotter does not display stored results, but calculates them anew at every change, it is good for all functions of the type y = f(x). Changes become effective after pressing the ENTER key. At every change old traces are erased and selections are reset to the base function only.

The ComboBox contains a number of preset standard functions. With selection of one of them parameters are set to appropriate values, which will appear in the text fields.

In most predefined functions slider a changes y scaling. The default value of b is zero. It is used in trigonometric functions to define phase. Slider p creates integers, which are used in the ComboBox functions to define integer power grades. It has a corresponding p text field, where one can input integers beyond the scale of the slider.