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Mathematics
Problem
Identify the sign of
f
′
(
x
)
f'(x)
f
′
(
x
)
that guarantees the accumulation function
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
F(x)=\int_{a}^{x} f(t)\,dt
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
is concave up on an interval.
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