Question: Write Python code for the function f(x) = cos( * e^x). (a) Write a Python code to implement the second order accurate centered difference scheme.

Write Python code for the function f(x) = cos( * e^x).

(a) Write a Python code to implement the second order accurate centered difference scheme. And plot both f and the numerically approximated derivative f(x) on the interval [2, 1].

(b) By examining the effect of varying step-size and without referring to the exact analytical derivative, obtain an estimate of df/dx at x = 1.

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