your answer would be (2,3)
By first principles, the derivative is

Use the binomial theorem to expand the numerator:


where

The first term is eliminated, and the limit is

A power of
in every term of the numerator cancels with
in the denominator:

Finally, each term containing
approaches 0 as
, and the derivative is

X+y= -12
xy=8
y=8/x
x+8/x=-12
x^2+12x+8=0
This has no integral