Given the function f defined on the interval [0, 1] by f(x) == 2√x+1 for 0x1 √x+1 Consider computing the the first and second derivatives and the integral of f(x) over the interval [0, 1] using the parameters n = 10 and h = 0.1 using the partition x = kh for k = 0, 1, 2, ..., n. Use the following algorithms for you computation 1. Use the centered difference Algorithm to compute the first derivative f'(xk) for k = 0, 1, 2, ..., n and compute the error with the exact derivative. 2. Use the centered difference Algorithm to compute the second derivative f"(xk) for k = 0, 1, 2, ..., n and compute the error with the exact derivative.