Calculate first, second, and third derivative values for function, f (x) = -x2 + 5x +...

 

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Calculate first, second, and third derivative values for function, f (x) = -x2 + 5x + 3 at points x = -2,0, 2 by "less and more accurate" forward, backward, and centered difference approximations. Calculate relative resiudal error between this values and exact values. (Use step size 0.2, if you already calculated the results with another step size, it is also accepted), Calculate first, second, and third derivative values for function, f (x) = -x2 + 5x + 3 at points x = -2,0, 2 by "less and more accurate" forward, backward, and centered difference approximations. Calculate relative resiudal error between this values and exact values. (Use step size 0.2, if you already calculated the results with another step size, it is also accepted),