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Mathematics
Problem
Let the curve be defined by
x
=
t
2
+
1
x=t^{2}+1
x
=
t
2
+
1
and
y
=
2
t
3
−
t
y=2t^{3}-t
y
=
2
t
3
−
t
for real
t
t
t
. Determine the value of
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
t
=
1
t=1
t
=
1
. a)
5
5
5
b)
2
5
\dfrac{2}{5}
5
2
c)
5
2
\dfrac{5}{2}
2
5
d)
2
2
2
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