Question

Find the indicated derivative.

Answer 1

Oof, division rule:
(f/g)'=(f'g-fg')/g^2
Let (9t-8)^6=f and t+2=g
Thus we get
(9*6(9t-8)^5*(x+2)-(9t-8)^6)/(x+2)^2
(54(9t-8)^5*(x+2)-(9t-8)^6)/(x^2+4x+4)

I'm not sure how much I'm supposed to simplify this...