The curve equation is $\"\"$ and the point is $\"\"$ . \ \

\

\

Slope of the function is derivative of the function at that point.

\

$\"\"$

\

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

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ . \ \

\

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

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Point slope form of line equation is $\"image\"$ .

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The normal line is perpendicular to the tangent line.

\

The equation of normal line at $\"image\"$ is $\"image\"$ , Where $\"image\"$ is slope of the tangent line.

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\