Rolle's theorem

Japanese: ロルの定理(英語表記)Rolle's theorem
Rolle's theorem
If f ( x ) is continuous in the closed interval ( a , b ) and f '( x ) exists for all x a < x < b , then if f ( a ) = f ( b ) = 0, then f '( x ) = 0 for at least one value x in a < x < b .

Source: Asakura Publishing Dictionary of Laws Information

Japanese:
閉区間(ab)において fx)が連続で,axb なるすべての x について f′(x)が存在する場合,もし fa)=fb)=0であるならば,axb の少なくとも一つの値 x において f′(x)=0である.

出典 朝倉書店法則の辞典について 情報

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