Ex 5.8, 2 (i) - Chapter 5 Class 12 Continuity and Differentiability (Term 1)

Transcript

Ex 5.8, 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? (𝑖) 𝑓 (𝑥) = [𝑥] 𝑓𝑜𝑟 𝑥 ∈ [5, 9]Greatest Integer less than equal to 𝑥 𝑓 (𝑥) =[𝑥] is not continuous & differentiable ⇒ Condition of Rolle’s Theorem is not satisfied. Therefore, Rolle’s Theorem is not applicable .