CAIE P2 2020 June — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2020
SessionJune
TopicParametric equations

3 A curve has parametric equations $$x = \mathrm { e } ^ { t } - 2 \mathrm { e } ^ { - t } , \quad y = 3 \mathrm { e } ^ { 2 t } + 1$$ Find the equation of the tangent to the curve at the point for which \(t = 0\).