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Mathematics
Mathematics
Problem
For the curve defined by
x
=
t
2
−
4
t
x=t^{2}-4t
x
=
t
2
−
4
t
and
y
=
t
3
−
6
t
(
t
∈
R
)
y=t^{3}-6t\,(t\in\mathbb R)
y
=
t
3
−
6
t
(
t
∈
R
)
, the value(s) of
t
t
t
at which the tangent is vertical is/are a)
t
=
−
2
t=-2
t
=
−
2
b)
t
=
2
t=\sqrt{2}
t
=
2
c)
t
=
2
t=2
t
=
2
d) No real value of
t
t
t
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