Question: 1. (a) In hw04q1.m apply Backward Difference and Centered Difference to approximate the first derivative of the function y(x) = (1 -2) at the point

 1. (a) In hw04q1.m apply Backward Difference and Centered Difference to

1. (a) In hw04q1.m apply Backward Difference and Centered Difference to approximate the first derivative of the function y(x) = (1 -2) at the point To = 2 with values h = 1, -, ...,2 8. Write down on paper the error term for each formula. (b) Compute the exact expression dy(To) / dr by hand. Evaluate numerically the approxi- mation errors for each formula. Add to hw04q1.m (c) Evaluate and report the rate of convergence with respect to parameter h for each for- mula. Add to hw04q1.m. Is this behavior expected

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