Edexcel F3 2021 January — Question 2

Exam BoardEdexcel
ModuleF3 (Further Pure Mathematics 3)
Year2021
SessionJanuary
TopicHyperbolic functions

2. $$y = \ln ( \tanh 2 x ) \quad x > 0$$
  1. Show that $$\frac { \mathrm { d } y } { \mathrm {~d} x } = p \operatorname { cosech } 4 x$$ where \(p\) is a constant to be determined.
  2. Hence determine, in simplest form, the exact value of \(x\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 1\)