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Newton's Method for Finding Roots of Equations
Suppose we have a function \(f(x)\) and we want to compute values of \(x\) for which \(f(x)=0\). These values of \(x\) are called the roots of \(f(x)\).
We can compute the roots using Newton's Method, which utilizes the derivative of the function to iteratively compute the roots of the function.
Newton's method begins with an initial guess. It evaluates the derivative …