CAIE Further Paper 2 2022 November — Question 2

Exam BoardCAIE
ModuleFurther Paper 2 (Further Paper 2)
Year2022
SessionNovember
TopicImplicit equations and differentiation
2 A curve has equation $$( x + 1 ) y + y ^ { 2 } = 2$$
  1. Show that \(\frac { \mathrm { dy } } { \mathrm { dx } } = - \frac { 2 } { 3 }\) at the point \(( 0 , - 2 )\).
  2. Find the value of \(\frac { d ^ { 2 } y } { d x ^ { 2 } }\) at the point \(( 0 , - 2 )\).
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