7 A curve is defined by the equation \(\sin 2 x + \cos y = \sqrt { 3 }\).
- Verify that the point \(\mathrm { P } \left( \frac { 1 } { 6 } \pi , \frac { 1 } { 6 } \pi \right)\) lies on the curve.
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
Hence find the gradient of the curve at the point P .