(Numerical Differentiation) Suppose we are given a function f(x) whose drivative is not known explicitly. We may, however, wish to still approximate the value of the derivative of ƒ at a fixed point. In order to do this, we could use the so-called second- order centered difſerence formula given by S(r+ h) – S(r – h) 2h S'(1) × Other approximations exist and are studied in numerical analysis (MAT 4020). diff_cdf Function: Input variables: an anonymous function representing f • a scalar representing the location z where the derivative is desired • a scalar representing the value of h to be used in the approximation Output variables: • a scalar representing the approximate value of f"(x) computed using the above formula A possible sample case is: » df = diff_cdf(@(x) sin(x), 0, 0.1) df = 0.99833 %3D

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