CAIE P2 2021 November — Question 5

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2021
SessionNovember
TopicImplicit equations and differentiation

5 A curve has equation \(x ^ { 2 } + 4 x \cos 3 y = 6\).
Find the exact value of the gradient of the normal to the curve at the point \(\left( \sqrt { 2 } , \frac { 1 } { 12 } \pi \right)\).