Question 977588
(12t+4)/(3tē+2)

Graphing gives an idea of the maximum, and I would use a graphing calculator on this and get t=0.55 giving a maximum of 3.65.

Of note is that the first derivative set to zero gives 2/3 with a maximum of 3.60.



{{{graph(300,300,-3,3,-10,10,(12x+4)/(3x^2+2))}}}