For below function, give an asymptotic upper bound using big$-$Oh notation.

$($a$)f_1(n)=7loglogn+4lo{g}^2(n)$

$($b$)f_2(n)=\mathrm{.}005n+100**2^n$

$($c$)f_3(n)=n^3(1+6n+2014n^2)$

$($d$)f_4(n)=(logn)(n+n^2)$