Find the derivative of the function. f(t) = sqrt (t / (t^2 + 2)).

you should see this as differentiating a composite function f ( g(t))

d [ f(g(t)] / dt ≡ [ df / dg ] [ dg / dt ] , where f (g ) = √ g and g(t) = t / [ t² +2 ]

df /dg = 1 / ( 2 √ g ) and dg / dt = { t² + 2 - t ( 2t ) } / ( t² + 2 )²