Consider the polynomial
f (x) = 6 + 7x + 4x^2. At x = 1.9,
a) Use the forward divided difference approximation to approximate the first derivative of f (x). Use a step size of Δx = 0.5. f ′ (x) ≈
.
b) use the backward-divided difference approximation to approximate the first derivative of f (x). Use a step size of Δx = 0.5. f ′ (x) ≈
.
c) use the centered divided difference approximation to approximate the first derivative of f (x). Use a step size of Δx = 0.5. f ′ (x) ≈
.
d) find the exact value of f ′ (x) ≈
Solution:
