11. (a) Differentiate each of the following with respect to \(x\).
- \(y = \mathrm { e } ^ { 3 x } \sin ^ { - 1 } x\)
- \(y = \ln \left( \cosh ^ { 2 } \left( 2 x ^ { 2 } + 7 x \right) \right)\)
(b) Find the equations of the tangents to the curve \(x = \sinh ^ { - 1 } \left( y ^ { 2 } \right)\) at the points where \(x = 1\).