The function is  and .

Linear approximation of the function is  .

Consider .

Differentiate on each side with respect to .

Substitute  in above function.

.

.

Linear approximation at is

Substitute all these values in linear approximation equation.

The corresponding linear approximation is  

.

Approximate value for . 

.

Here, .

Approximate value for .

Approximate value for .

.

Here, .

Approximate value for .

Graph:

Graph of the function and the tangent line.

 Linear approximation of the function is .

Approximate value for .

Approximate value for .

Graph of the function and the tangent is

.