The equation of the curve 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: .

Simplify the expression.

The slope of the tangent line at is

Find the tangent line using the point slope form : .

Substitute the values  and  in point slope form.

.

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: .

Substitute the values  and  in point slope form.

.

The tangent line equation is .

The normal line equation is .