$\"\"$

The function is $\"\"$ .

Consider $\"\"$ .

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

$\"\"$

$\"\"$ .

$\"\"$

Newtons approximation formula: $\"\"$ .

Substitute values of $\"\"$ and $\"\"$ in above expression.

$\"\"$

$\"\"$ .

Result of the above expression remains undefined.

Therefore, Newtons method fails.

$\"\"$

Newtons method fails.