$\"\"$

\

The function is $\"\"$ .

\

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

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Newtons Formula : $\"\"$

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Newtons Formula : $\"\"$

\

$\"\"$

\

$\"\"$ .

\

Perform newton approximation for $\"\"$ .

\

Newtons formula : $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Perform newton approximation for $\"\"$ .

\

Newtons formula : $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Perform newton approximation for $\"\"$ .

\

Newtons formula : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Newton formula : $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Graph :

\

Draw a coordinate palne.

\

Graph the function $\"\"$ .

\

$\"\"$

\

Observe the graph.

\

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

\

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

\

$\"\"$

\

\

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