Exercise 2 - Forward, Backward, And Central Difference Formulas For The First Derivative Consider The Function F(X) = X - 3x + 2x + 4.

 Exercise 2 - Forward, Backward, And Central Difference Formulas For The First Derivative Consider The Function F(X) = X - 3x² + 2x + 4. Calculate Its First Derivative At Point X=3 Numerically With The Forward, Backward, And Central Finite Difference Formulas And Using: A) Points X=2, X=3, And X=4. B) Points X=2.75, X=3, And X=3.25. C) Compare The Results

 

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Exercise 2-Forward, Backward, and Central Difference formulas for the First Derivative Consider the function f(x) = x-3x + 2x + 4. Calculate its first derivative at point x=3 numerically with the forward, backward, and central finite difference formulas and using: a) Points x=2, x=3, and x=4. b) Points x=2.75, x=3, and x=3.25. c) Compare the results with the exact (analytical) derivative.