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Mathematics
Mathematics
Problem
At an instant,
d
y
d
t
=
−
4
units/s
\displaystyle \frac{dy}{dt}=-4\,\text{units/s}
d
t
d
y
=
−
4
units/s
while
d
x
d
t
=
2
units/s
\displaystyle \frac{dx}{dt}=2\,\text{units/s}
d
t
d
x
=
2
units/s
. What is
d
y
d
x
\displaystyle \frac{dy}{dx}
d
x
d
y
at that moment? a)
−
8
-8
−
8
(decreasing) b)
2
2
2
(increasing) c)
−
2
-2
−
2
(decreasing) d)
−
0.5
-0.5
−
0.5
(decreasing)
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