Question

If I derive the following,

d/dt((a)S(t^2) of (s)^(1/2)ds

with S being integral notation
(a) being at the bottom of the notation and being a constant
(t^2) being at the top of the notation

..I first apply the fundamental theorem of calculus to get..

(t^2)^(1/2) (2t)

simplified to 2(t^2)

Is this correct?