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Homework answers / question archive / When using the three-point midpoint formula to approximate the derivative f'(x0) the total error function (including the round-off and truncation error) is e(h) = (ε/h) + (h^2/6)M

When using the three-point midpoint formula to approximate the derivative f'(x0) the total error function (including the round-off and truncation error) is e(h) = (ε/h) + (h^2/6)M

Math

When using the three-point midpoint formula to approximate the derivative f'(x0) the total error function (including the round-off and truncation error) is e(h) = (ε/h) + (h^2/6)M. if ε = 0.01 and M = 3 what is the optimal value of h to minimize the total error
a) 0.0654
b) 0.1354
c) 0.0282
d) 0.2154

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