Thursday

October 23, 2014

October 23, 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

**Answer this Question**

**Related Questions**

Calcules - find y" by implicit differentiation. 4x^3 + 3y^3 = 4...

Calculus - Find the equation of the tangent plane at the given point. 1)x^2+y^2-...

Calculus AB - I'm trying to find the second derivative of h(x)= x^2 + cos(kx) My...

Pre-Calculus - Simplifying Complex Fractions [(x+3)/12] / [(4x-5)/15] [(x+3)/12...

College Calculus 1 - We have to find the first and second derivative of f(x)=x^(...

Calculus Verification - I just want to make sure im right. Find the derivative ...

physics - A 0.400 glider is moving to the right on a frictionless, horizontal ...

Physics repost please clarify - A converging lens has a focal length of 0.060 m...

Calculus - Find the first and second derivatives of the given functions. y=¡î(x...

arithmetic - is my answer right? Q) Using a frame rate of 25 fps, what frame ...