OCR H240/02 2020 November — Question 1

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2020
SessionNovember
TopicProduct & Quotient Rules
1
  1. Differentiate the following with respect to \(x\).
    1. \(( 2 x + 3 ) ^ { 7 }\)
    2. \(x ^ { 3 } \ln x\)
  2. Find \(\int \cos 5 x \mathrm {~d} x\).
  3. Find the equation of the curve through \(( 1,3 )\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x - 5\).
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