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Mathematics
Problem
Which expression equals the average rate of change of a differentiable function
f
f
f
on the interval
[
a
,
b
]
[a,b]
[
a
,
b
]
, where
a
<
b
a<b
a
<
b
? a)
f
′
(
a
)
f'(a)
f
′
(
a
)
b)
f
(
b
)
−
f
(
a
)
f(b)-f(a)
f
(
b
)
−
f
(
a
)
c)
f
(
b
)
−
f
(
a
)
b
−
a
\dfrac{f(b)-f(a)}{b-a}
b
−
a
f
(
b
)
−
f
(
a
)
d)
f
(
a
)
−
f
(
b
)
b
−
a
\dfrac{f(a)-f(b)}{b-a}
b
−
a
f
(
a
)
−
f
(
b
)
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