Edexcel AS Paper 1 2023 June — Question 16

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2023
SessionJune
TopicDifferentiation Applications
TypeProve constraint relationship
  1. A curve has equation \(y = \mathrm { f } ( x ) , x \geqslant 0\)
Given that
  • \(\mathrm { f } ^ { \prime } ( x ) = 4 x + a \sqrt { x } + b\), where \(a\) and \(b\) are constants
  • the curve has a stationary point at \(( 4,3 )\)
  • the curve meets the \(y\)-axis at - 5
    find \(\mathrm { f } ( x )\), giving your answer in simplest form.
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