Edexcel C1 2005 January — Question 2

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2005
SessionJanuary
TopicDifferentiation Applications
TypeFind derivative of polynomial
  1. Given that \(y = 5 x ^ { 3 } + 7 x + 3\), find
    (a) \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), (b) \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
  2. Find \(\int \left( 1 + 3 \sqrt { } x - \frac { 1 } { x ^ { 2 } } \right) \mathrm { d } x\).
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