CAIE P3 2011 November — Question 2

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2011
SessionNovember
TopicProduct & Quotient Rules

2 The equation of a curve is \(y = \frac { \mathrm { e } ^ { 2 x } } { 1 + \mathrm { e } ^ { 2 x } }\). Show that the gradient of the curve at the point for which \(x = \ln 3\) is \(\frac { 9 } { 50 }\).