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Mathematics
Problem
Explain, using calculus reasoning, why a differentiable function
f
f
f
with
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
for every
x
x
x
in
(
a
,
b
)
(a,b)
(
a
,
b
)
must satisfy
f
(
a
)
<
f
(
b
)
f(a)<f(b)
f
(
a
)
<
f
(
b
)
.
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