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Mathematics
Mathematics
Problem
Consider the curve
x
(
t
)
=
t
3
−
3
t
x(t)=t^{3}-3t
x
(
t
)
=
t
3
−
3
t
and
y
(
t
)
=
t
4
−
4
t
2
y(t)=t^{4}-4t^{2}
y
(
t
)
=
t
4
−
4
t
2
for all real
t
t
t
. At which of the following Cartesian coordinates does the curve have a horizontal tangent that is closest to the origin? a)
(
2
,
−
4
)
(\sqrt{2},-4)
(
2
,
−
4
)
b)
(
0
,
0
)
(0,0)
(
0
,
0
)
c)
(
−
2
,
−
3
)
(-2,-3)
(
−
2
,
−
3
)
d)
(
0
,
−
4
)
(0,-4)
(
0
,
−
4
)
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