Ex 5.8, 2 - Examine if Rolle’s theorem - Chapter 5 Class 12



  1. Chapter 5 Class 12 Continuity and Differentiability (Term 1)
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Ex 5.8, 2 Examine if Rolleโ€™s theorem is applicable to the functions. Can you say some thing about the converse of Rolleโ€™s theorem from this function? (๐‘–) ๐‘“ (๐‘ฅ) = [๐‘ฅ] ๐‘“๐‘œ๐‘Ÿ ๐‘ฅ โˆˆ [5, 9]Greatest Integer less than equal to ๐‘ฅ ๐‘“ (๐‘ฅ) =[๐‘ฅ] is not continuous & differentiable โ‡’ Condition of Rolleโ€™s Theorem is not satisfied. Therefore, Rolleโ€™s Theorem is not applicable .

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.