You can put this solution on YOUR website! g(t) -(t^2 + 2)/(2t-7), find g'(t)
-----
g'(t) = [(2t-4)(-2t) + (t^2+2)(2)] / (2t-7)^2
----------
g'(t) = [-2t^2+4 + 2t^2+4]/(2t-7)^2
----------
g'(t) = 8/(2t-7)^2
------------------
Cheers,
Stan H.
-----------