Edexcel C1 2015 June — Question 6

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2015
SessionJune
TopicPolynomial Division & Manipulation

  1. The curve \(C\) has equation
$$y = \frac { \left( x ^ { 2 } + 4 \right) ( x - 3 ) } { 2 x } , \quad x \neq 0$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in its simplest form.
  2. Find an equation of the tangent to \(C\) at the point where \(x = - 1\) Give your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.