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Mathematics
Problem
State the formula for the second derivative
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
in terms of
f
′
(
t
)
,
f
′
′
(
t
)
,
g
′
(
t
)
,
g
′
′
(
t
)
f'(t),\,f''(t),\,g'(t),\,g''(t)
f
′
(
t
)
,
f
′′
(
t
)
,
g
′
(
t
)
,
g
′′
(
t
)
for a curve given parametrically by
x
=
f
(
t
)
,
y
=
g
(
t
)
x=f(t),\, y=g(t)
x
=
f
(
t
)
,
y
=
g
(
t
)
.
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