Edexcel P3 2022 October — Question 6

Exam BoardEdexcel
ModuleP3 (Pure Mathematics 3)
Year2022
SessionOctober
TopicProduct & Quotient Rules

6. $$y = \frac { 2 + 3 \sin x } { \cos x + \sin x }$$ Show that $$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { a \tan x + b \sec x + c } { \sec x + 2 \sin x }$$ where \(a , b\) and \(c\) are integers to be found.