Answer
$3t^{-1/2}-12t^{2}$
Work Step by Step
$f(t)$=$6\sqrt t - 4t^{3}+9$
$f(t)=6t^{1/2}- 4t^{3}+9$
$f(t)=6(1/2)t^{1/2-1}- 4(3)t^{3-1}+0$
$f(t)=3t^{-1/2}- 12t^{2}$
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