OCR C3 2006 January — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2006
SessionJanuary
TopicProduct & Quotient Rules

3
  1. Differentiate \(x ^ { 2 } ( x + 1 ) ^ { 6 }\) with respect to \(x\).
  2. Find the gradient of the curve \(y = \frac { x ^ { 2 } + 3 } { x ^ { 2 } - 3 }\) at the point where \(x = 1\).