OCR C1 2005 June — Question 6

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2005
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial
6 Given that \(\mathrm { f } ( x ) = ( x + 1 ) ^ { 2 } ( 3 x - 4 )\),
  1. express \(\mathrm { f } ( x )\) in the form \(a x ^ { 3 } + b x ^ { 2 } + c x + d\),
  2. find \(\mathrm { f } ^ { \prime } ( x )\),
  3. find \(\mathrm { f } ^ { \prime \prime } ( x )\).
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