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Mathematics
Mathematics
Problem
Calculate
d
2
y
d
x
2
\displaystyle \frac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
for the parametric curve defined by
x
(
t
)
=
t
2
+
1
x(t)=t^{2}+1
x
(
t
)
=
t
2
+
1
and
y
(
t
)
=
t
3
−
3
t
y(t)=t^{3}-3t
y
(
t
)
=
t
3
−
3
t
at
t
=
1
t=1
t
=
1
.
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