how do i get the derivative of
f(T) = sqrt(6)/t^4
But more importantly, how do you get this answer?
$\displaystyle f(t)=\frac{\sqrt{6}}{t^4}$
The squareroot of 6 is a constant, so you can bring just multiply that constant to the answer at the end.
Now you have this: $\displaystyle \sqrt{6}t^{-4}$
From here, it's a simple power rule problem.