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Mathematics
Problem
A differentiable function
w
w
w
satisfies
2
≤
w
′
(
x
)
≤
5
2\le w'(x)\le 5
2
≤
w
′
(
x
)
≤
5
for all real
x
x
x
. What is the smallest positive interval length
Δ
x
\Delta x
Δ
x
for which
w
(
x
+
Δ
x
)
−
w
(
x
)
w(x+\Delta x)-w(x)
w
(
x
+
Δ
x
)
−
w
(
x
)
could equal
13
13
13
?
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