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THE FEUTEX TOOLKIT

Uneven Three-Point Derivative

Estimate the derivative at a center sample when left and right spacing differ.

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01 Your input
02 Your result
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FormulaDerivative = -hr*yl/(hl*(hl+hr))+(hr-hl)*yc/(hl*hr)+hl*yr/(hr*(hl+hr))
Sources and model references

Made for real tasks

  • Estimate the derivative at a center sample when left and right spacing differ.
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Worked example

Inputs

Left spacing
1 number
Right spacing
2 number
Left sample
0 number
Center sample
1 number
Right sample
9 number

Expected results

Derivative
2 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter left spacing, right spacing, left sample, center sample, right sample.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "hl": 1,
  "hr": 2,
  "yl": 0,
  "yc": 1,
  "yr": 9
}

Accuracy and scope

Derivative of the quadratic interpolant at the center; exact for quadratic data, not arbitrary noisy samples.

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.