Lagrange's Mean Value Theorem is applicable to a function f(x) in the interval [a, b] if the function is:

Question

Mathematics · Calculus

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Share:

Correct answer

Continuous on the closed interval [a, b] and differentiable on the open interval (a, b)

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Calculus?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Calculus

Which of the following territories was annexed by Lord Dalhousie under the pretext of misgovernance, and not directly through the Doctrine of Lapse?

What was the primary stated reason for the Partition of Bengal in 1905 by Lord Curzon?

Answer 1

Continuous on the open interval (a, b) only

Answer 2

Continuous on the closed interval [a, b] and differentiable on the open interval (a, b)

Answer 3

Differentiable everywhere on the real line

Answer 4

Discontinuous at the boundaries a and b

Related Practice Questions