Is it possible to add more pleasing higher order derivative, like these?

Wrote

Is it possible to add more pleasing higher order derivative, like these ?

More Derivatives is limited by the symbolic of f(x)
More pleasant ... from invention.

...make it algo style for in-situ command line.

Maths Derivative GENERALISED algo.sm (9,37 KiB) scaricato 1708 volta(e).

SMath has a built-in prime operator ()'. It can be created but will not be evaluated in the base configuration of SMath Studio

The Maxima plugin links this operator to the function Diff(1), which computes the total derivative of an expression with respect to all variables in that expression. You can mark symbolic constants in the expression by making them custom units (writing them with a leading prime like 'y).

The function Diff(1) is always avaliable if the Maxima plugin is installed, yet the operator form must explicitly be "hijacked" by the command MaximaTakeover().
It is then available as diff(1) in the dynamic assistant.

You can create second derivatives using nested ()' operators but that doesn't look good. Perhaps appropriate operators could be defined in the custom glyphs plugin.


diff1.sm (8,03 KiB) scaricato 1787 volta(e).

Hi. Some notes.

Wrote

SMath has a built-in prime operator ()'. It can be created but will not be evaluated in the base configuration of SMath Studio ...

You can assign it to a partial derivative like operator inside SMath. (First example in the image)

Wrote

... The Maxima plugin links this operator to the function Diff(1), which computes the total derivative of an expression with respect to all variables in that expression. You can mark symbolic constants in the expression by making them custom units (writing them with a leading prime like 'y).

Maxima is a great plugin. You can have it and prime as partial derivative, this is, it is not necessary to use units to mark variables other than the variable of the derivative. (Last example in the image)



diff1.sm (20,62 KiB) scaricato 1781 volta(e).

Best regards.
Alvaro.

Wrote

Wrote

Is it possible to add more pleasing higher order derivative, like these ?

More Derivatives is limited by the symbolic of f(x)
More pleasant ... from invention.

Hi Jean,

Thank you for the detailed examples. But how do you input the "n" on the top?

@mkraska, @Razonar

Thank you for the exaples.
So I can use nested 1st order derivative to get higher order derivative.

Wrote

Hi Jean,
Thank you for the detailed examples. But how do you input the "n" on the top?

Type n at bottom, top follows automatically.

Maths Derivative GENERALISED algo.sm (9,37 KiB) scaricato 1726 volta(e).