Assuming
4x^(3)+5y^(2)+xy=0
defines
y
as a differentiable function of
x
, use the theorem
(dy)/(dx)=-(F_(x))/(F_(y))
to find
(dy)/(dx)
at the point
(-1,1)
(dy)/(dx)|_((-1,1))
|
=
(Type an integer or a simplified fraction.)