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Mathematics
Problem
For a smooth parametric curve given by differentiable functions
x
(
t
)
x(t)
x
(
t
)
and
y
(
t
)
y(t)
y
(
t
)
, express
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
solely in terms of derivatives with respect to
t
t
t
.
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