Question 5 Consider the function f(x)=-0.1.x -0.15x²³ -0.5x² -0.25x+1.2 Approximate f '(0.5) using three-point forward, three-point backward and four- point central difference formula with a step size h= 0.25. Use 3 decimal places in all calculations. Ans: -0.859, -0.878, -0.913 (ii) Given that the exact value of f'(0.5) = 0.913. Determine which formula in (i) gives the best result. (i)
Question 5 Consider the function f(x)=-0.1.x -0.15x²³ -0.5x² -0.25x+1.2 Approximate f '(0.5) using three-point forward, three-point backward and four- point central difference formula with a step size h= 0.25. Use 3 decimal places in all calculations. Ans: -0.859, -0.878, -0.913 (ii) Given that the exact value of f'(0.5) = 0.913. Determine which formula in (i) gives the best result. (i)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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