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Find the gradient of the curve at the point $(\ln 3, 2)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by the equation $6e^{-x}y^2 + e^{2x} - 12y + 7 = 0$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use product rule to differentiate $6e^{-x}y^2$ (quotient rule allowed); $\dfrac{dy}{dx}$ must appear from implicit differentiation” …
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