Evaluate the derivative

a$)\frac{d}{dx}{\displaystyle \underset{2}{\overset{x}{}}}\sqrt[\phantom{2}]{4+2t^3}dt$

d$)\frac{d}{dx}{\displaystyle \underset{2}{\overset{x^3}{}}}\sqrt[\phantom{2}]{2+t^3}dt$

b$)\frac{d}{dx}{\displaystyle \underset{x}{\overset{5}{}}}(1+4t^3{)}^{4}dt$

e$)\frac{d}{dx}{\displaystyle \underset{x^2}{\overset{5}{}}}\frac{t}{5+t^2}dt$

c$)\frac{d}{dx}{\displaystyle \underset{-3}{\overset{x}{}}}\frac{3t}{1+4t+t^2}dt$

f$)\frac{d}{dx}{\displaystyle \underset{x}{\overset{x^2}{}}}\sqrt[\phantom{2}]{1+t^2}dt$

ONLY A & D$!$