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The extremum (minimum or maximum) point of a function f(x) is to be determined by solving $$\frac{{{\text{df}}\left( {\text{x}} \right)}}{{{\text{dx}}}} = 0$$   using the Newton-Raphson method. Let f(x) = x3 - 6x and x0 = 1 be the initial guess of x. The value of x after two iterations (x2) is

The extremum (minimum or maximum) point of a function f(x) is to be determined by solving $$\frac{{{\text{df}}\left( {\text{x}} \right)}}{{{\text{dx}}}} = 0$$   using the Newton-Raphson method. Let f(x) = x3 - 6x and x0 = 1 be the initial guess of x. The value of x after two iterations (x2) is Correct Answer 1.4167

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