2. A curve \(C\) has equation
$$y = \mathrm { e } ^ { 2 x } \tan x , \quad x \neq ( 2 n + 1 ) \frac { \pi } { 2 }$$
- Show that the turning points on \(C\) occur where \(\tan x = - 1\).
- Find an equation of the tangent to \(C\) at the point where \(x = 0\).