OCR C3 2009 January — Question 4

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2009
SessionJanuary
TopicProduct & Quotient Rules
4 For each of the following curves, find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and determine the exact \(x\)-coordinate of the stationary point:
  1. \(y = \left( 4 x ^ { 2 } + 1 \right) ^ { 5 }\),
  2. \(y = \frac { x ^ { 2 } } { \ln x }\).
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