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Problem 3. USING MATLAB: Consider g(t) = x2 ex/2 , x = 0, 0.4, 0.8, 1.2. Determine derivative g(t) in the point x0 = 0.8

Problem 3. USING MATLAB: Consider g(t) = x2 ex/2 , x = 0, 0.4, 0.8, 1.2. Determine derivative g(t) in the point x0 = 0.8 and h = 0.4 using self-developed Matlab program: a) Two-point backward difference formula. b) Two-point forward difference formula. c) Two-point central difference formula. d) Taylor series based difference formula. Find the percentage relative error in each case. Note: Matlab program

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