(a)[4]
Find the gradient, at the point $(1, 1)$, of the curve $3\ln x + 4\ln y + 6xy = 6$.
(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 $(-3, 3)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiating $4\ln y$ gives $\frac{4}{y}\frac{dy}{dx}$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI