OCR C1 2013 June — Question 10

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicDifferentiation Applications
TypeFind stationary points

10 The curve \(y = ( 1 - x ) \left( x ^ { 2 } + 4 x + k \right)\) has a stationary point when \(x = - 3\).
  1. Find the value of the constant \(k\).
  2. Determine whether the stationary point is a maximum or minimum point.
  3. Given that \(y = 9 x - 9\) is the equation of the tangent to the curve at the point \(A\), find the coordinates of \(A\).