Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by $y = 3 + \frac{12}{2 - x}$.
(i)[5]

Find the equation of the tangent at the point where the curve intersects the $x$-axis.

(ii)[2]

A point moves along the curve so that the $x$-coordinate is increasing steadily at $0.04$ units per second. Determine the rate of change of the $y$-coordinate when $x = 4$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Locates the $x$-axis intersection at $x=6$.

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