Question

Evaluate the derivative using logarithmic differentiation if y = x(x + 5)^3/(6x − 1)^2

Answer 1

Lny = Ln[x(x + 5)^3/(6x − 1)^2]
Lny = Lnx + Ln(x+5)^3 - Ln(6x-1)^2

Answer 2

Lny = Lnx + 3 Ln(x+5) - 2 Ln(6x-1)
(1/y)y' = (1/x) + 3/(x+5) - 2/(6x-1)

Answer 3

y' = y*[(1/x) + 3/(x+5) - 2/(6x-1)]

Answer 4

and now just replace y with the equation taht u had for y

Answer 5

the original one at the very top?

Answer 6

Yes
\[ y = {x(x + 5)^3 \over (6x − 1)^2}\]

Answer 7

its saying its wrong
idk y

Answer 8

http://dl.dropbox.com/u/14986544/photo.jpg

Answer 9

so its -12?