Edexcel C3 2018 June — Question 7

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2018
SessionJune
TopicProduct & Quotient Rules

  1. The curve \(C\) has equation \(y = \frac { \ln \left( x ^ { 2 } + 1 \right) } { x ^ { 2 } + 1 } , \quad x \in \mathbb { R }\)
    1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) as a single fraction, simplifying your answer.
    2. Hence find the exact coordinates of the stationary points of \(C\).