Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of points at which the function f(x) = max. {a − x, a + x, b}, − ∞ < x < ∞ , 0 < a < b cannot be differentiable is:
Text Solution
Verified by ExpertsThe correct answer is:
B
y = f(x) = max {a–x, a+x, b}, 0 < a < b

f(x) is non-differentiable at 2 points
──────────────────────────────────────────────────────────────────────────────────────────
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…
Examine the differentiability of f (x) = at x = 0.
If f(x) = is derivable at x = 1. Find the values of a & b.