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Given the function ƒ(x) = (x² + √x) cos(x) sin(x) Find the value of the first derivative at x = 2. (a) Use analytical differentiation by hand. (b) Use the four-point central difference formula with X₁-2 = 1.96, X₁-₁1 = 1.98, X₁+1 = 2.02 andx=2.04

Given the function ƒ(x) = (x² + √x) cos(x) sin(x) Find the value of the first derivative at x = 2. (a) Use analytical differentiation by hand. (b) Use the four-point central difference formula with X₁-2 = 1.96, X₁-₁1 = 1.98, X₁+1 = 2.02 andx=2.04

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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Given the function f(x) = (x²+√x) cos(x) sin(x) Find the value of the first derivative at x = 2. (a) Use analytical differentiation by hand. (b) Use the four-point central difference formula with X₁-2 = 1.96, X¡-1 = 1.98, X₁+1 = 2.02, andx₁+2 = 2.04.
Transcribed Image Text:Given the function f(x) = (x²+√x) cos(x) sin(x) Find the value of the first derivative at x = 2. (a) Use analytical differentiation by hand. (b) Use the four-point central difference formula with X₁-2 = 1.96, X¡-1 = 1.98, X₁+1 = 2.02, andx₁+2 = 2.04.
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