$\"\"$

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The function is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Consider the zero of the function as $\"\"$ .

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Newton $\"\"$ s approximation method formula : $\"\"$ .

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$\"\"$ .

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Find $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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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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$\"\"$

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$\"\"$ .

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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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$\"\"$

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$\"\"$

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$\"\"$ .

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Two sucessive approximations is less than $\"\"$ .

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Estimate zero of $\"\"$ to be $\"\"$ .

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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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$\"\"$

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