How is this the "product rule"?

(2t- 1)'= 2 and ((1+ t)^(-1/2)'= (-1/2)(1+ t)^(-3/2). The product rule gives h'= 2(1+t)^(-1/2)- (1/2)(2t-1)(1+t)^(-3/2).

To simplify that, I would recomment rewriting the roots as square roots again. Of course, (1+t)^(-3/2)= (1+t)^(-1)(1+t)^(-1/2).

Now get common denominators and combine the fractions.

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[/QUOTE]