Question: Write the update formula using Newton's method to find root of f(x) = x^2 - log (x) X_n + 1 = x_n + x^2 _n

 Write the update formula using Newton's method to find root of

Write the update formula using Newton's method to find root of f(x) = x^2 - log (x) X_n + 1 = x_n + x^2 _n - log (x_n)/2x_n - 1/x_n x_n + 1 = x_n - x^2 _n - log (x_n)/2x_n - 1/x_n x_n + 1 = x_n + 2x_n - 1/x_n/x^2 _n - log (x_n) x_n + 1 = x_n - 2x_n - 1/x_n/x^2 _n - log (x_n)

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