OCR MEI Paper 2 2023 June — Question 15

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2023
SessionJune
TopicImplicit equations and differentiation

15 In this question you must show detailed reasoning. The equation of a curve is $$\ln y + x ^ { 3 } y = 8$$ Find the equation of the normal to the curve at the point where \(y = 1\), giving your answer in the form \(\mathrm { ax } + \mathrm { by } + \mathrm { c } = 0\), where \(a , b\) and \(c\) are constants to be found.