Find the derivative of the function.
f(t) = tan(e^(2t)) + e^(tan(2t))
couple of hints ...
if $\displaystyle u$ is a function of $\displaystyle t$ ...
$\displaystyle \frac{d}{dt} \tan{u} = \sec^2{u} \cdot \frac{du}{dt}$
and
if $\displaystyle v$ is a function of $\displaystyle t$ ...
$\displaystyle \frac{d}{dt} e^v = e^v \cdot \frac{dv}{dt}$