Calculate the derivative of log xnumerically at x = 2and find the truncation error for the following values of step size using Forward Difference: i) h=1, ii) h=0.1, iii) h=0.01, iv) h=0.001, v) Based on the calculations, comment on the error and the step size. 5.6x a) If f(x) = sinx + 5e then find the forward, backward and central difference approximation for f '(3) with Ax = 0.3. Also compare the results. b) What will be the error term for a central differentiation with higher order derivative (f "(x))? .

Calculate the derivative of log xnumerically at x = 2and find the truncation error for the following values of step size using Forward Difference: i) h=1, ii) h=0.1, iii) h=0.01, iv) h=0.001, v) Based on the calculations, comment on the error and the step size. 5.6x a) If f(x) = sinx + 5e then find the forward, backward and central difference approximation for f '(3) with Ax = 0.3. Also compare the results. b) What will be the error term for a central differentiation with higher order derivative (f "(x))? .

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter1: Fundamentals Of C++ Programming

Section1.1: Preliminary One: Unit Analysis

Problem 10E: (Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this...

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