OCR Further Pure Core 2 Specimen — Question 8

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
SessionSpecimen
TopicHyperbolic functions

8 The equation of a curve is \(y = \cosh ^ { 2 } x - 3 \sinh x\). Show that \(\left( \ln \left( \frac { 3 + \sqrt { 13 } } { 2 } \right) , - \frac { 5 } { 4 } \right)\) is the only stationary point on the curve.