$\"\"$

The function is $\"\"$ and the value of $\"\"$ is $\"\"$ .

Linearization $\"\"$ of the function is at $\"\"$ is $\"\"$ .

Consider $\"\"$ .

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

$\"\"$

Substitute $\"\"$ in above function.

$\"\"$

$\"\"$ .

Linearization $\"\"$ of the function is at $\"\"$ is, $\"\"$ .

Substitute corresponding values in linear approximation equation.

$\"\"$

$\"\"$ .