Ex 5.8, 2 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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Question 2 Examine if Rolle’s theorem is applicable to the functions. Can you say some thing about the converse of Rolle’s theorem from this function? (𝑖𝑖) 𝑓 (π‘₯) = [π‘₯] π‘“π‘œπ‘Ÿ π‘₯ ∈ [βˆ’2, 2]Greatest Integer less than equal to π‘₯ 𝑓 (π‘₯) =[π‘₯] is not continuous & differentiable β‡’ Condition of Rolle’s Theorem is not satisfied. Therefore, Rolle’s Theorem is not applicable .

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.