code class$=$"asciimath"$>$f$($x$)=$e$^(2$x$)\backslash$sqrt$($x$^(2)+4)$ Take the derivative f$^(\text{'})($x$)=($d$)/($dx$)($e$^(2$x$)\backslash$sqrt$($x$^(2)+4))$ Use differentiation rules f$^(\text{'})($x$)=($d$)/($dx$)($e$^(2$x$))\backslash$times $\backslash$sqrt$($x$^(2)+4)+$e$^(2$x$)\backslash$times $($d$)/($dx$)(\backslash$sqrt$($x$^(2)+4))$ Find the derivative f$^(\text{'})($x$)=$e$^(2$x$)\backslash$times $2\backslash$sqrt$($x$^(2)+4)+$e$^(2$x$)\backslash$times $(1)/(2\backslash$sqrt$($x$^(2)+4))\backslash$times $2$x Simplify the expression f$^(\text{'})($x$)=(2$x$^(2)$e$^(2$x$)+8$e$^(2$x$)+$xe$^(2$x$))/(\backslash$sqrt$($x$^(2)+4))$ Solution f$^(\text{'})|\backslash$Omega $|=(2$x$^(2)$ Next Step $)^($x$)+$xe$^(2$x$)$