Use Forward and Backward differentiation tof' (1)calculateas accurately as you can.Let h = 0.08X 0.840.921.001.081.16f(x) 0.431711 0.398519 0.367879 0.339596|0.313486Formulas:f(x+h)-f(x)f' (x) =FDM:hf(x)- f(x-h)f' (x) ~BDM:hShow your complete solution.

To find the value of the derivative at a point x by forward and Backward differentiation with step…

Answered: Use Forward and Backward…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use Forward and Backward differentiation to f' (1) calculate as accurately as you can. Let h = 0.08 0.84 0.92 1.00 1.08 1.16 f(x) 0.4317110.398519 0.367879 0.339596 0.313486 Formulas: f(x+h)-f(x) f' (x) 2 FDM: h f(x)- f(x-h) f' (x) 2 BDM: h Show your complete solution.