WJEC Further Unit 4 2024 June — Question 8

Exam BoardWJEC
ModuleFurther Unit 4 (Further Unit 4)
Year2024
SessionJune
TopicHyperbolic functions

  1. (a) By writing \(y = \sinh ^ { - 1 } ( 4 x + 3 )\) as \(\sinh y = 4 x + 3\), show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 4 } { \sqrt { 16 x ^ { 2 } + 24 x + 10 } }\).
    (b) Show that the graph of \(\mathrm { e } ^ { - 3 x } y = \sinh 2 x\) has only one stationary point.
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