The approximate value of the derivative of a function f(x) using centered difference approximation is given by Ax + h) – f(x – h) 2h f'(x) = Use the formula above to calculate the approximate derivative of f(x)= 2e* nx for x = 2, accurate to n = 3 significant figures. Start with h = 0.5, the next value of h is one-fifth of the previous value, i.e., 0.5 = 0.1, and so on. Show the first step of your computation, and tabulate the result: h = 5 h s'(2) 0.5 0.1 0.02 where n is the number of significant figures in the accuracy of the approximation.

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