Edexcel C1 2008 June — Question 4

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2008
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial
4. $$\mathrm { f } ( x ) = 3 x + x ^ { 3 } , \quad x > 0 .$$
  1. Differentiate to find \(\mathrm { f } ^ { \prime } ( x )\). Given that \(\mathrm { f } ^ { \prime } ( x ) = 15\),
  2. find the value of \(x\).
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