AQA C3 2011 January — Question 3

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2011
SessionJanuary
TopicDifferentiating Transcendental Functions
3
  1. Given that \(x = \tan ( 3 y + 1 )\) :
    1. find \(\frac { \mathrm { d } x } { \mathrm {~d} y }\) in terms of \(y\);
    2. find the value of \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when \(y = - \frac { 1 } { 3 }\).
  2. Sketch the graph of \(y = \tan ^ { - 1 } x\).
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