OCR Pure 1 2017 Specimen — Question 10

Exam BoardOCR
ModulePure 1 (Pure Mathematics 1)
Year2017
SessionSpecimen
TopicProduct & Quotient Rules

10 A curve has equation \(x = ( y + 5 ) \ln ( 2 y - 7 )\).
  1. Find \(\frac { \mathrm { d } x } { \mathrm {~d} y }\) in terms of y .
  2. Find the gradient of the curve where it crosses the \(y\)-axis.