Edexcel C1 — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
TopicChain Rule

  1. Given that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { x ^ { 3 } - 4 } { x ^ { 3 } } , \quad x \neq 0$$
  1. find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\). Given also that \(y = 0\) when \(x = - 1\),
  2. find the value of \(y\) when \(x = 2\).