OCR H240/01 2020 November — Question 8

Exam BoardOCR
ModuleH240/01 (Pure Mathematics)
Year2020
SessionNovember
TopicProduct & Quotient Rules
8
  1. Differentiate \(\left( 2 + 3 x ^ { 2 } \right) \mathrm { e } ^ { 2 x }\) with respect to \(x\).
  2. Hence show that \(\left( 2 + 3 x ^ { 2 } \right) \mathrm { e } ^ { 2 x }\) is increasing for all values of \(x\).
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