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Mathematics
Mathematics
Problem
Let
g
g
g
be defined by
g
(
x
)
=
∫
2
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{2}^{x} f(t)\,dt
g
(
x
)
=
∫
2
x
f
(
t
)
d
t
, where
f
f
f
is twice differentiable. What is
g
′
′
(
x
)
g''(x)
g
′′
(
x
)
expressed in terms of
f
f
f
and its derivatives?
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