Mean value theorem

Stub grade: A*

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A fundamental page of analysis, demote to grade C once the content is fleshed out and referenced properly. Demote to A once statements are filled in (see notes page)

The 'Mean value theorem or MVT as it is often shortened to comes in two forms, a single-variable form that any first year will encounter and a more general form for manifolds.

• Maybe 3 forms if you separate out the case on [ilmath]\mathbb{R}^n[/ilmath] and on a general smooth manifold

See Notes:Mean value theorem for my notes on the page.

Statement

Mean value theorem (first form)

Mean value theorem (first form)/Statement

Mean value theorem (second form)

Mean value theorem (second form)/Statement