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 (а) у — х3 + 4х - 15 at x = 0, h = 0.25 (b) у %3 х? сos x at x = 0.4, h = 0.1 (c) y = tan(x/3) at x = 3, h = 0.5 %3D
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 (а) у — х3 + 4х - 15 at x = 0, h = 0.25 (b) у %3 х? сos x at x = 0.4, h = 0.1 (c) y = tan(x/3) at x = 3, h = 0.5 %3D
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
(а) у %— х3 + 4х —- 15
at x = 0, h = 0.25
(b) у — 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 —
at x = 1, h = 0.2
Also perform Error Analysis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65a82a8f-8bdc-40a6-a4eb-4dd5ee0d55dd%2F29669b6a-337b-4f0f-97ec-dfcd3fbddea1%2Fdnkkvho_processed.png&w=3840&q=75)
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
(а) у %— х3 + 4х —- 15
at x = 0, h = 0.25
(b) у — 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 —
at x = 1, h = 0.2
Also perform Error Analysis
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