Step 1:

The function is $\"\"$ and the tangent line is $\"\"$ .

Compare the tangent line with slope-intercept form of line equation $\"\"$ ,

where $\"\"$ is the slope and $\"\"$ is the $\"\"$ -intercept.

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

Step 2:

The function is $\"\"$ .

Apply derivative on each side.

$\"\"$

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

$\"\"$

Step 3:

Substitute the value of $\"\"$ in the function.

$\"\"$ .

Equate $\"\"$ and $\"\"$ .

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Solution:

The value of $\"\"$ is 3.