Which is the value of f'(x) at x = 4 from the following table of values?

Explanation

Note: the answer key gives (D) 9.5, but with this table Newton's backward formula gives f′(4) = ∇f + ∇²f/2 + ∇³f/3 = 7 + 2/2 − 1/3 ≈ 7.67. No option matches, so the table is probably misprinted.