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Mathematics
Mathematics
Problem
Let
f
f
f
be differentiable on its domain. Define
g
(
x
)
=
∫
2
x
2
f
(
t
)
d
t
g(x)=\displaystyle\int_{2}^{x^{2}} f(t)\,dt
g
(
x
)
=
∫
2
x
2
f
(
t
)
d
t
. Determine
g
′
(
x
)
g'(x)
g
′
(
x
)
in terms of
f
f
f
and
x
x
x
.
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