View source for Mean value theorem

{{Stub page|grade=A*|msg=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:Mean value theorem|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 {{M|\mathbb{R}^n}} and on a general [[smooth manifold]]
: See [[Notes:Mean value theorem]] for my notes on the page.
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==Statement==
===[[Mean value theorem (first form)/Statement|Mean value theorem (first form)]]===
{{:Mean value theorem (first form)/Statement}}
===[[Mean value theorem (second form)/Statement|Mean value theorem (second form)]]===
{{:Mean value theorem (second form)/Statement}}
==References==
<references/>
{{Theorem Of|Real Analysis|Smooth Manifolds}}