(1) Evaluate the first derivative of y(x) = sin(x) for x = 1 and h = 0.01, 0.001 by the three difference schemes:Evaluate the errors by comparison to...

(1) Evaluate the first derivative of y(x) = sin(x) for x = 1 and h = 0.1, 0.01, 0.001 by the three difference schemes:Evaluate the errors by comparison to the exact values.(2)Calculate d/dx(1/x) at x = 1 by using the forward, backward, central difference approximations with h = 0.1, 0.05 and 0.025. (a) comparison to the exact value, and (b) using the error terms.(3) Evaluate the truncation error of the following different formula(4)