Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Examine the differentiability of f (x) =
at x = 0.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
not differentiable at x = 0
Sol. f (x) =
f (0) = 0
LHD (x = 0) =
=
= – 1
RHD (x = 0) =
=
= 1
Not differentiable at x = 0
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Test the continuity & differentiability of the function defined as under at x = 1 & x = 2.
f (x) =
A function f is defined as follows: f(x) =
Discuss the continuity & differentiability at x = 0 & x…
Prove that f (x) = |x| cos x is not differentiable at x = 0
Show that the function f (x) = is,
(i)differentiable at x = 0, if m > 1.
(ii)continuous but not di…
If f(x) = is derivable at x = 1. Find the values of a & b.
Draw a graph of the function, y = [x] + |1 − x| , − 1 ≤ x ≤ 3. Determine the points, if any, where …