Sunday

August 31, 2014

August 31, 2014

Posted by **Iliana** on Saturday, March 30, 2013 at 12:47pm.

y'= (y-2x)/(2y-x)

y'' = [(y'-2)(2y-x)] - [(2yy' - x)(y- 2x)]/ ((2x-y)^2)

final answer for second derivative is:

[2y^2- 5xy + 2x^2 - 2y^3 + 8xy^2 - 8x^2y/ ((2x-y)^3)] - [(4y + 2x + xy - 2x^2)/((2y-x)^2)]

is this right. thank you

- Did I do this right?-Calculus -
**Steve**, Saturday, March 30, 2013 at 2:14pmI'll let you verify whether our answers agree, but I think you may find it easier to do it like this

y'= (y-2x)/(2y-x)

(2y-x)y' = y-2x

2yy' -xy' = y-2x

2y'^2 + 2yy" - y' - xy" = y'-2

y"(2y-x) = y'-2-2y'^2+y'

y" = 2(y'^2-2y'+2)/(x-2y)

= 2((2x-y)^2 - (2x-y)(x-2y) + 1)/(x-2y)^3

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