A Collection of Tangent Estimates for Numerical Differentiation

The purpose of this report is to presents a collection of Tangent Estimates that can be used for the Numerical Differentiation of Tabular Functions. Derived by fitting Conic Segments to three adjacent points on the Tabular Function, these central difference formulas have been reduced to equations expressed in terms of the local secants.

Tangent Estimate Formulas

Secant Identities that simplified the Tangent Estimate Formulas.

Example development of the Tangent Estimate for the X Parabola.

Note: All Equations were typeset using MathPix https://mathpix.com/

Author: excel1star

Senior Excel VBA Automation Developer. Ex Aerospace Engineer with Grumman Aerospace

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