Edexcel C1 2012 June — Question 7

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2012
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

7. The point \(P ( 4 , - 1 )\) lies on the curve \(C\) with equation \(y = \mathrm { f } ( x ) , x > 0\), and $$f ^ { \prime } ( x ) = \frac { 1 } { 2 } x - \frac { 6 } { \sqrt { } x } + 3$$
  1. Find the equation of the tangent to \(C\) at the point \(P\), giving your answer in the form \(y = m x + c\), where \(m\) and \(c\) are integers.
  2. Find \(\mathrm { f } ( x )\).