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July 29, 2016
Posted by **jahil** on Sunday, November 21, 2010 at 6:46pm.

-------- but i keep getting x^2y

x^2+y^2 -----

x^2+y^2

- Calculus 1 Implicit differentiation -
**Reiny**, Sunday, November 21, 2010 at 7:06pmx^3+3x^2y+y^3=8

3x^2 + 3x^2 dy/dx + y(6x) + 3y^2 dy/dx = 0

dy/dx(3x^2 + 3y^2) = -3x^2 - 6xy

dy/dx = -3x(x + 2y)/(3(x^2 + y^2)

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

or

= -(x^2 + 2xy)/(x2 + y^2)

I don't understand the answer the way you typed it, but there should definitely be a negative in there.