$\"\"$

The function is $\"\"$ and the point is $\"\"$ .

Differentiate the function with respect to $\"\"$ .

$\"\"$

Power rule of derivatives : $\"\"$ .

$\"\"$

At the point $\"\"$ .

$\"\"$ .

This is the slope of the tangent line.

Slope of the tangent line is $\"\"$ .

$\"\"$

Point-slope form of the line equation is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in the above equation.

$\"\"$

The tangent line equation is $\"\"$ .

$\"\"$

Use the linear approximation to complete the table.

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The table compares the values of $\"\"$ given by linear approximation with the values of $\"\"$ near $\"\"$ .

$\"\"$

The tangent line equation is $\"\"$ .

The completed table is :

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