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Mean value inequality

If the line segment from

x

to

y

lies in the domain of a differentiable map and

∥ D f_{z} ∥ \leq M

along it, then

∥ f (y) - f (x)∥ \leq M ∥ y - x ∥ .

Table of contents 63 1
- Zero derivative on a connected open set Mean value inequality 36

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