CAIE P3 2021 June — Question 8

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2021
SessionJune
TopicProduct & Quotient Rules

8 The equation of a curve is \(y = e ^ { - 5 x } \tan ^ { 2 } x\) for \(- \frac { 1 } { 2 } \pi < x < \frac { 1 } { 2 } \pi\).
Find the \(x\)-coordinates of the stationary points of the curve. Give your answers correct to 3 decimal places where appropriate.