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0606 P11 - Nov 2018 - Q6 - 6 marks
8485

A curve has equation

\(y=\frac{\ln(2x^2+3)}{5x+2}.\)

(i) Show that \(\dfrac{dy}{dx}=-\dfrac54\ln3\) when \(x=0\).

(ii) Hence find the equation of the tangent to the curve at the point where \(x=0\).

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