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Question No 02: Compute the first-order Derivative for each of the following functions at the specified location and for the specified step size using 5 Point Central Difference Formula (a) y = x³ + 4x 15 at x = 0, h = 0.25 (b) y = x² cos x at x = 0.4, h = 0.1 (c) y = tan(x/3) at x = 3, h = 0.5 sin(0.5 yx) (d) у %3 at x = 1, h = 0.2 Also perform Error Analysis

Question No 02: Compute the first-order Derivative for each of the following functions at the specified location and for the specified step size using 5 Point Central Difference Formula (a) y = x³ + 4x 15 at x = 0, h = 0.25 (b) y = x² cos x at x = 0.4, h = 0.1 (c) y = tan(x/3) at x = 3, h = 0.5 sin(0.5 yx) (d) у %3 at x = 1, h = 0.2 Also perform Error Analysis

Advanced Engineering Mathematics
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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Question No 02: Compute the first-order Derivative for each of the following functions at the specified location and for the specified step size using 5 Point Central Difference Formula (a) y = x3 + 4x – 15 at x = 0, h = 0.25 () у 3D х* сos x at x = 0.4, h = 0.1 (c) y= tan(x/3) at x = 3, h = 0.5 sin(0.5 Vx) (d) у%3D at x = 1, h = 0.2 Also perform Error Analysis
Transcribed Image Text:Question No 02: Compute the first-order Derivative for each of the following functions at the specified location and for the specified step size using 5 Point Central Difference Formula (a) y = x3 + 4x – 15 at x = 0, h = 0.25 () у 3D х* сos x at x = 0.4, h = 0.1 (c) y= tan(x/3) at x = 3, h = 0.5 sin(0.5 Vx) (d) у%3D at x = 1, h = 0.2 Also perform Error Analysis
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