THE FEUTEX TOOLKIT

Cubic Polynomial Evaluation

Evaluate a cubic polynomial, its first two derivatives and its signed integral from zero.

Math workspace● Runs in your browser

01 Your input

Cubic coefficientcoefficientQuadratic coefficientcoefficientLinear coefficientcoefficientConstantcoefficientEvaluation positionvalue

02 Your result

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Result data

Formula

Value = ((a*x+b)*x+c)*x+d; First Derivative = (3*a*x+2*b)*x+c; Second Derivative = 6*a*x+2*b; Integral From Zero = a*x**4/4+b*x**3/3+c*x**2/2+d*x

Sources and model references

https://mathworld.wolfram.com/HornersMethod.html

How to use this tool

Enter the labeled inputs using consistent units.
Check the stated assumptions and calculate.
Review each output and compare another input scenario.

Try this example

{
  "a": 1,
  "b": 0,
  "c": -2,
  "d": 1,
  "x": 2
}

Accuracy and scope

Polynomial ax³+bx²+cx+d. Integral is signed from zero to x. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.