Question

?can you spot any errors in my work?

{implicitly differentiate y with respect to x}
y=ln(xy)

dy/dx=[x(dy/dx)+y*1] / [xy]

-multiply both sides by (xy)

xy (dy/dx) = x(dy/dx)+y

-sutract x(dy/dx) form both sides

xy(dy/dx)-x(dy/dx) = y

- factor out dy/dx from the left then divide both sides by (xy-x)

dy/dx= y/(xy-x)

-siplify the right side by facoring out an x

dy/dx=y/x(y-1)

Answer 1

it should be . y/(x (-1+y)). which coincidentally is that. so good job :)

Answer 2

thank you for your time :)

Answer 3

thank you for being so polite and awesome :3

Answer 4

one of the first people i've seen who does their own work =D

Answer 5

well thats the best way to learn

Answer 6

for me at least

Answer 7

good job

Answer 8

thank you for for your time too jimmyrep.

Answer 9

yw