Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is described by the equation $y = \frac{4}{3x - 4}$, and the point $P\,(2,2)$ lies on it.

(i)[4]

Find the equation of the tangent at $P$ to the curve.

(ii)[2]

Find the angle the tangent forms with the $x$-axis.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly differentiates $y=\frac{x}{3x-4}$” …