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1. (a) Derive the formula to find f'(0.0) using the central difference scheme. (b) Write a C program to determine f'(x) at all time steps

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1. (a) Derive the formula to find f'(0.0) using the central difference scheme. (b) Write a C program to determine f'(x) at all time steps using the central difference scheme and display the results on the screen Time 0.00.1 f(x) 0 0.0998 0.19860.2955 0.3894 0.47940.5646 0.64420.7173 0.2 0.3 0.4 0.50.60.70.8 0.9 1.0 0.7833 0.8414

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