[Blindmath] Dirivitives

[Jacques Chappell]

I have a problem I have pasted into this email below, using the quotient
rule we are to find the dirivitive, but I am stuck. So I have the work I
have done so far and if I am correct or not correct in what I have done
please let me know. Also below that is the correct answer, but  I haven't
reached the answer yet. As I have said I am stuck. Thanks.

21) p(t)=sqrt t/t-1

(t-1)(t^1/2)-(sqrt t)(1)/(t-1)^2

T^3/2-t^1/2-sqrt t/(t-1)^2

T^3/2-t^1/2-t^1/2/(t-1)^2

T^3/2-2t^1/2/(t-1)^2

 

P'(t)=[-sqrt t/2-1/(2*sqrt t)]/(t-1)^2