CAIE P2 2024 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2024
SessionNovember
TopicImplicit equations and differentiation

3 A curve has equation \(6 \mathrm { e } ^ { - x } y ^ { 2 } + \mathrm { e } ^ { 2 x } - 12 y + 7 = 0\).
Find the gradient of the curve at the point \(( \ln 3,2 )\).