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Mathematics
Problem
A curve is defined by the parametric equations
x
=
t
2
+
1
x=t^{2}+1
x
=
t
2
+
1
and
y
=
t
3
−
3
t
y=t^{3}-3t
y
=
t
3
−
3
t
. Determine the equation of the tangent line to the curve at
t
=
1
t=1
t
=
1
. a)
x
=
2
x=2
x
=
2
b)
y
=
3
x
−
8
y=3x-8
y
=
3
x
−
8
c)
y
=
−
2
y=-2
y
=
−
2
d)
y
=
2
x
−
6
y=2x-6
y
=
2
x
−
6
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