y=(9+4x-8 sqrt x)/x
Using the quotient rule I get
[x(4-4x^-1/2)-(9+4x-8x^1/2)]x^2
[4x-(4x^1/2)-9-4x+(8x^1/2)]x^2
[(8x^1/2)-9]x^2
My final answer is (4sqrtx-9)/x^2
However the boosk final answer is
-9/x^2 + 4/xsqrtx
It has been a year since I took trig and I know my algebra is horrible but how did they get 4/xsqrtx from 4sqrtx/x^2
Thanks for the help.
As an alternative, you can use logarithmic differentiation.