The function is  and the point is .

The slope of tangent is the derivative of the curve at the given point.

Differentiate with respect to  on each side.

Quotient rule of differentiation: .

Power rule of differentiation: .

The slope of the tangent line at  is

The equation of the tangent at  :

Point - Slope form: .

Substitute  and  in the above formula.

The equation of the tangent line is .

Let  are slopes of two lines.

Two lines are perpendicular if and only if .

Normal line is perpendicular to the tangent line.

Thus the product of their slopes is .

Consider the slope of the tangent line as   and slope of the normal line as .

Therefore , .

Slope of the normal line is .

Point - Slope form: .

Find the equation of the normal line at   with slope .

The equation of the normal line is .

The equation of the tangent line is  .

The equation of the normal line  is .