Find the first, second, third, and fourth derivative of the following function.

f(x)=e2x\displaystyle {f{{\left({x}\right)}}}={e}^{{{2}{x}}}

f(x)=\displaystyle {f}'{\left({x}\right)}=  

f(x)=\displaystyle {f}{''}{\left({x}\right)}=  

f(x)=\displaystyle {f}{'''}{\left({x}\right)}=  

f(4)(x)=\displaystyle {{f}^{{{\left({4}\right)}}}{\left({x}\right)}}=