Question

find an antiderivative of the function
((t-1)^2)/sqrt(t)

that goes through the point (1,2)

i find derivative of top and bottom first and get

2t-2/(1/2*sqrt(t)) but this doesnt give right solution

then i find diervative of that again and i get 2/(-1/4 * t^(-3/2))

what am i doing wrong please