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Mathematics
Mathematics
Problem
A point moves along the curve
x
y
=
9
xy = 9
x
y
=
9
. When the point is at
(
x
,
y
)
=
(
3
,
3
)
(x,y) = (3,3)
(
x
,
y
)
=
(
3
,
3
)
, its
y
y
y
–coordinate is decreasing at
0.4
0.4
0.4
units per second. Determine
d
x
/
d
t
dx/dt
d
x
/
d
t
at that instant, including units.
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