$\"\"$

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The function $\"\"$ .

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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Newtons approximation method formula : $\"\"$ .

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$\"\"$ .

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Newton Formula : $\"\"$

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$\"\"$

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$\"\"$

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Similarly perform newton approximation for $\"\"$ .

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Newton formula : $\"\"$ .

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$\"\"$

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$\"\"$ .

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Perform newton approximation for $\"\"$ .

\

Newton formula : $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Perform newton approximation for $\"\"$ .

\

Newton formula : $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Perform newton approximation for $\"\"$ .

\

Newton formula : $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph

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The function touches the $\"\"$ -axis at $\"\"$ .

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Hence the zero of the function is $\"\"$ .

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$\"\"$

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Zero of the function is $\"\"$ .