Write C code for the following:

Disregard HW 07

Derive f(x) ~ 4f(x + h) - f(x + 2h) - 3f(x)/3h used in Problem 3 of HW 07, i.e. start with the Taylor series expansions of f(x + h) = f(x) + hf'(x) + h^2/2! f" (x) + h^3/3! f'" (x) + ... f(x + 2h) = f(x) + 2hf'(x) + 4h^2/2! f"(x) + 8h^3/3! f'" (x) + ... and eliminate the terms that have h^2. Refer to Equation (18) in the lecture13 note. Make sure that you attach example runs showing the results from the computer