CAIE P3 2013 November — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2013
SessionNovember
TopicImplicit equations and differentiation

4 A curve has equation \(3 \mathrm { e } ^ { 2 x } y + \mathrm { e } ^ { x } y ^ { 3 } = 14\). Find the gradient of the curve at the point \(( 0,2 )\).