9. 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))? ,

9. 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))? ,

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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