The function is .

Apply derivative on each side with respect to .

Quotient rule of derivatives: .

(a)

Slope of the tangent line to the curve is derivative of the function.

Slope of the tangent line at the point .

Point Slope form of line equation: .

Substitute and in point slope form.

The tangent line at the point is .

(b)

Slope of the tangent line to the curve is derivative of the function.

Slope of the tangent line at the point .

Point Slope form of line equation: .

Substitute and in point slope form.

The tangent line at the point is .

Graph the tangent lines and .

The tangent lines equations are and .

Graphs the function .

Tangent lines equations are and .