Question

Let f(x) = x4 + x3 + x2 + x + 1. Apply the two, and three-point formulas of tables 4.3 (given below) to estimate first derivatives of f(x) at

xo = 0. Use two step size h=10-1 and h-10-2. Find actual error by comparison with the analytical derivatives.

Fig: 1

Fig: 2