imo class 12 continuity and differentiability

What is the Left Hand Derivative (LHD) of f(x) = |x − 2| at x = 2?

VAVidaara Admin Asked 6d ago 0 views 0 answers
#IMO#Class 12#Mathematics#Continuity and Differentiability#mathematical-reasoning

What is the Left Hand Derivative (LHD) of f(x) = |x − 2| at x = 2?

  • A. 1
  • B. −1
  • C. 0
  • D. Does not exist

Answer: B) −1

Explanation: For x < 2, f(x) = −(x − 2) = 2 − x. The derivative is −1. So, LHD at x = 2 is −1.

0 Answers

Log in to post your own answer or join the discussion.

Discussion (0)

No comments yet — start the discussion.

← Back to all questions