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The curve is defined by $3e^{2x}y + e^{x}y^3 = 14$. Find the gradient of the curve at the point $(0, 2)$.
Mathematics 9709 · AS & A Level · Differentiation
The curve is defined by $3e^{2x}y + e^{x}y^3 = 14$. Find the gradient of the curve at the point $(0, 2)$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $y^3$ so that you obtain $3y^2\dfrac{dy}{dx}$” …