Course Solutions Uncategorized (Solved) : C 20 Marks Write C Program Compute First Derivative F X Exp X2 Atx 2 Using Central Differe Q31677388 . . . .

(Solved) : C 20 Marks Write C Program Compute First Derivative F X Exp X2 Atx 2 Using Central Differe Q31677388 . . . .

 

(c) (20 marks) Write a C program to compute the first derivative of f(x)exp(x2) atx 2 using the central-difference approximation scheme. In the program, you s the exact value f using the analytic expression (What is it?). Calculate the differences E(h) Ifoad fn (h)| for h 10-25x 10 з 10-3,5 × 10 4, and 10-4, where lf (h)1 represents the numerical value obtained by using step size h. Plot In(E() against In(h). Determine the slope of the line and verify that the error has the expected order of accuracy. [Optional: Improve your code to take arbitrary xo and 

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