Question: Forward difference method Consider f(x) = x4, using the following two forward difference methods to evaluate df (x) at x=1 with Ax = 1 and

Forward difference method

Consider f(x) = x4, using the following two forward difference methods to evaluate df (x) at x=1 with Ax = 1 and Ax = 5 and compare with the exact dx solution to see which one is more accurate (note that if (x) .-3/4 = dx 4 - when x =1). 4 df (x) (a) f(xth)-f(x) = dx Ax (b) df (x) -3f(x)+4f(x+h)-f(x+2h) dx 2Ax

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