Question: Please provide with full python code thanks Q3. Errors in numerical differentiation (15 points) (a) Write a program that defines a function f(x) returning the

Please provide with full python code thanks

Please provide with full python code thanks Q3. Errors in numerical differentiation

Q3. Errors in numerical differentiation (15 points) (a) Write a program that defines a function f(x) returning the value x(x1), then calculates the derivative of the function at x=1 using forward differencing with h=102. Compare the result from your program and the true value of the same derivative from analytical calculation. The two will not agree perfectly. Why? (b) Repeat the calculation for h=104,106,108,1010,1012,1014. Comment on your results

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