Find second derivative d²y/dx²

A question is this type if and only if it asks to find the value of the second derivative at a specific point on an implicitly defined curve.

26 questions · Standard +0.8

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Edexcel Paper 1 2020 October Q15
7 marks Challenging +1.2
  1. The curve \(C\) has equation
$$x ^ { 2 } \tan y = 9 \quad 0 < y < \frac { \pi } { 2 }$$
  1. Show that $$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { - 18 x } { x ^ { 4 } + 81 }$$
  2. Prove that \(C\) has a point of inflection at \(x = \sqrt [ 4 ] { 27 }\)