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Mathematics
Mathematics
Problem
The family of curves given by
x
y
+
a
=
0
xy + a = 0
x
y
+
a
=
0
depends on the constant
a
a
a
. Describe how the slope
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at a point
(
x
,
y
)
(x,y)
(
x
,
y
)
with
x
≠
0
x \ne 0
x
=
0
depends on
a
a
a
.
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