Numerical differentiation. Given the data set: X G(x) -1.00 -0.841 -0.75 -0.682 -0.50 -0.479 -0.25 -0.247 0 0 0.247 0.479 0.682 0.841 0.949 0.997 0.984 0.909 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Calculate the following to 3 d.p: a) The forward difference at x=0.75 b) The backward difference at x= -0.75 0 c) The central difference at x = 0.25

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