thm:calc-extreme-value-theorem-1d-2026c
Let a,b∈Ra,b\in \mathbb{R}a,b∈R with a<ba<ba<b, and let f:[a,b]→Rf:[a,b]\to\mathbb{R}f:[a,b]→R be continuous at every point in [a,b][a,b][a,b]. Then there exist points xmin,xmax∈[a,b]x_{\min},x_{\max}\in[a,b]xmin,xmax∈[a,b] such that
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