Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

(a)[4]

Determine the gradient of the curve $3\ln x + 4\ln y + 6xy = 6$ at the point $(1, 1)$.

(b)[6]

A curve has parametric equations $x = \frac{10}{t} - t$, $y = \sqrt{(2t - 1)}$. Find the gradient of the curve at the point $(-3, 3)$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $4\ln y$ to get $\frac{4}{y}\frac{dy}{dx}$” …

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