OCR C1 2015 June — Question 7

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2015
SessionJune
TopicProduct & Quotient Rules

7
  1. Given that \(\mathrm { f } ( x ) = \left( x ^ { 2 } + 3 \right) ( 5 - x )\), find \(\mathrm { f } ^ { \prime } ( x )\).
  2. Find the gradient of the curve \(y = x ^ { - \frac { 1 } { 3 } }\) at the point where \(x = - 8\).