OCR C3 — Question 6

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
TopicDifferentiating Transcendental Functions

6. The curve \(C\) has the equation \(y = x ^ { 2 } - 5 x + 2 \ln \frac { x } { 3 } , x > 0\).
  1. Show that the normal to \(C\) at the point where \(x = 3\) has the equation $$3 x + 5 y + 21 = 0$$
  2. Find the \(x\)-coordinates of the stationary points of \(C\).