So I'm getting .11 for forward difference formula and -.47 for 3 pts endpoint

You are given the table of the values of some unknown function f. x F(x) 2.5 | 0.79 2.0.) 3.5 | 0.91 40} 1.11 Apply forward-difference formula with h = 1, Three Points Endpoint Formula with h = 0.5 and Three Points Endpoint Formula with h = 0.5 to approximate f'(3). Actually, we know that f'(3) ~ 0.1223. Which formula is the best choice? Agnieszka Hejna (MATH 373 SPRING 20 Lecture 13 March 6, 2025 24 / 42 Numerical differentiation Exam equations Solution f(3)-19 We have 4 @ forward-difference formula: f/(3) ~ FA) F3) = 0.11. e Three Points Endpoint Formula: f'(3) ws 3f (3)+4f(3.5)F(4) ~ _0.13. 1 @ Three Points Midpoint Formula: f'(3) ~ f3.6) F256) = 0,12. Three Points Endpoint Formula is best choice in this situation because the error between the actual value and the approximate value is the smallest