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2. (20 pts) The objective of this problem is to compare the three points forward, backward, and central finite-difference approximations of the first derivative at
2. (20 pts) The objective of this problem is to compare the three points forward, backward, and central finite-difference approximations of the first derivative at x = 2, The function is f(x) = e-2x-1. a. Use calculus to determine the correct value of the derivative. b. Code in MATLAB: Using a stepsize range 1 10.01, 0.5] broken into 1,000 values (linspace (0.01, 0.5, 1000)) plot the absolute error of the 3 point forward, back ward, and central approximations on a logarithmic scale (semilogy ())
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