Edexcel P1 2023 June — Question 4

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2023
SessionJune
TopicIndices and Surds

  1. In this question you must show all stages of your working.
    1. Write
    $$y = \frac { 5 x ^ { 2 } + \sqrt { x ^ { 3 } } } { \sqrt [ 3 ] { 8 x } }$$ in the form $$y = A x ^ { p } + B x ^ { q }$$ where \(A , B , p\) and \(q\) are constants to be found.
  2. Hence find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) giving each coefficient in simplest form.