Tamil Nadu Board of Secondary EducationHSC Arts Class 12th

Explain why Rolle’s theorem is not applicable to the following functions in the respective intervals f(x) = tan x, x ∈ [0, π] - Mathematics

Sum

Explain why Rolle’s theorem is not applicable to the following functions in the respective intervals

f(x) = tan x, x ∈ [0, π]

Solution

f(x) = tan x

f(x) is not continuous at x = pi/2

So Rolle’s Theorem is not applicable.

Concept: Mean Value Theorem
Is there an error in this question or solution?

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 12th Mathematics Volume 1 and 2 Answers Guide
Chapter 7 Applications of Differential Calculus
Exercise 7.3 | Q 1. (ii) | Page 21
Share