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...Unit mean value theorems structure introduction objectives rolle s theorem theol em lagrmge meal cauchy generalised intermediate for derivatives darboux summary a swers hints solutions in you were introduced to the notion of derivable functions some interesting and very useful properties are associated with that continuous on closed interval except possibly at end points these formulated form called which we propose discuss this imporjant analysis because many significant results deducible ftom them first shall well known is one simplest yet most fundarncntal real it used establish finally illustrate use solving certain problems after studying should be able know its geometrical meaning deduce differentiability by using or en give interpretation apply various understand related going study given michael french mathematician foundation stone all gemetrical subsequent sections will see application types state prove as allows rollys if function f r i ii b bounded attains bounds refer uei ...