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Proof of Darboux's Intermediate Value Theorem 📂Calculus

Proof of Darboux's Intermediate Value Theorem

정리

If a function $f : [a,b] \to \mathbb{R}$ is differentiable at $[a,b]$, there exists a $c \in (a,b)$ such that $y_{0} = f ' (c)$ is satisfied between $f ' (a)$ and $f ' (b)$ for some $y_{0}$.