Finding the Derivative of a Function using Java

Question

New member here, so sorry if I didn't post enough details.

I want to find the derivative of an inputted function using a String because I will use Netbeans' JFrame, say 6x^3 + 2x and output its derivative function, 18x^2 + 2. I've been experimenting around Apache Commons Math's DerivativeStructure, but I can't seem to find an answer (yet). Any kind of advice will be appreciated.

This is the example I've been experimenting around which is also found in one of the examples here in stackoverflow (Java - Computation of Derivations with Apache Commons Mathematic Library)

    DerivativeStructure x = new DerivativeStructure(1, 3, 0, 1);

    System.out.println(x.getValue());
    // Basically, x --> x^2.
    DerivativeStructure x2 = x.pow(2);
    //Linear combination: y = 4x^2 + 2x

    /*Scanner scan = new Scanner(System.in);
    System.out.println("Input function:");
    String function=scan.nextLine();*/

    DerivativeStructure y = new DerivativeStructure(4.0, x2, 2.0, x);
    System.out.println("y    = " + y.getValue());
    System.out.println("y'   = " + y.getPartialDerivative(1));
    System.out.println("y''  = " + y.getPartialDerivative(2));
    System.out.println("y''' = " + y.getPartialDerivative(3));

I'm experimenting with the parameters of DerivativeStructure. And I also think that getPartialDerivative isn't the solution.

Can you post some code to showcase on what you've done so far? — Phani, Dec 06 '15 at 17:16
Done. Also, still haven't done the JFrame part yet, trying to do it first in console. — theMichaelG6, Dec 06 '15 at 17:28
Can you update the question with your findings so that we can try to address? — Phani, Dec 06 '15 at 17:42

Finding the Derivative of a Function using Java

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