CAIE P3 2013 June — Question 5

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2013
SessionJune
TopicProduct & Quotient Rules
5 For each of the following curves, find the gradient at the point where the curve crosses the \(y\)-axis:
  1. \(y = \frac { 1 + x ^ { 2 } } { 1 + \mathrm { e } ^ { 2 x } }\);
  2. \(2 x ^ { 3 } + 5 x y + y ^ { 3 } = 8\).
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