Sunday, December 13, 2015

Modified Formula for the Slope

  The formula for the slope in the last blog assumed that Δtk = tk - t804 so that Δt0 = 0. The formula can be modified to give the best slope through an arbitrary point (tp,ΔTp) is as follows.

This vector formula is similar to method used to estimate the derivative of f(t) using Δf/Δt. The dot products are needed since division is not defined for vectors.

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