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Use Newton's Method to Find the Zero Of f(x)=x33x+1f(x)=-x^{3}-3 x+1 To Within 0

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Use Newton's method to find the zero of f(x)=x33x+1f(x)=-x^{3}-3 x+1 to within 0.00001 by solving the equation f(x)=0f(x)=0 using x0=1x_{0}=1 \text {. }  Use Newton's method to find the zero of  f(x)=-x^{3}-3 x+1  to within 0.00001 by solving the equation  f(x)=0  using  x_{0}=1 \text {. }

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