(a) Explain why Newton's Method is unable to find a root for $x ^ { 3 } - 3 x + 4 = 0$ if $x _ { 1 } = 1$ or $x _ { 1 } = - 1$ .(b) Using $x _ { 1 } = - 2$ ,use Newton's Method to approximate a root of this equation to four decimal places.

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The Answer of (a) Explain why Newton's Method is unable to find a root for $x ^ { 3 } - 3 x + 4 = 0$ if $x _ { 1 } = 1$ or $x _ { 1 } = - 1$ .(b) Using $x _ { 1 } = - 2$ ,use Newton's Method to approximate a root of this equation to four decimal places.

(A) Explain Why Newton's Method Is Unable to Find a Root