Edexcel P3 2021 June — Question 7

Exam BoardEdexcel
ModuleP3 (Pure Mathematics 3)
Year2021
SessionJune
TopicImplicit equations and differentiation

7. Given that $$x = 6 \sin ^ { 2 } 2 y \quad 0 < y < \frac { \pi } { 4 }$$ show that $$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { A \sqrt { \left( B x - x ^ { 2 } \right) } }$$ where \(A\) and \(B\) are integers to be found.
WIHV SIHI NI III HM ION OC
VIAV SIHI NI III IM I ON OC
WARV SIHI NI IIIIM I I ON OC