Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by $3e^{2x}y+4e^{3x}+y^3=18$.
(a)[4]

Show that this gives $\frac{dy}{dx}=\frac{-2e^{2x}y-4e^{3x}}{e^{2x}+y^2}$.

(b)[3]

Show that the curve has no stationary points at all.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: An attempt to use the product rule in differentiating $3e^{2x}y$

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