Hi

I have a problem with simplifying after I differentiate, can anyone enlighten me as what are some key ways in simplifying equations

Heres my problem

h(t)=[2t-1]/sqrt(1+t)

rearranged it.

h[t]=[2t-1][1+t]^(-1/2)

Product Rule

h'[t]=2*([-1/2][1+t]^[-3/2]) + (([1+t]^[1/2])*2

now how do i go about in simplifying that? my problem is expanding the brackets with variables and powers.

Show me some necessary steps needed