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Question

Consider the following function

f(x) = 3 cos (x) – 5x

find x such that f(x) = -5 (in the form f(x) – b = 0, b = -5).

In MATLAB create a function that uses the Newton Raphson method of the form

Hints:

This Matlab function approximates the root of f(x)-b = 0 where both f(x) and b are inputs.

Approximate error is calculated using root approximations that arise from two adjacent iterations. x_R(current iteration) is the root approximation that is found as the result of the current iteration, x_R(previous iteration) is the root approximation that is found as the result of the previous iteration.

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