Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Consider the function, f(x) = |x – 2| + |x – 5|, x ∈ R .
Statement-1 : f ′
Text Solution
Verified by ExpertsThe correct answer is:
C
f(x) = 3 2 ≤ x ≤ 5
f ′ (x) = 0 2 < x < 5
f ′ = 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
Let f(x) = x|x| and g(x) = sin x
Statement-1 gof is differentiable at x = 0 and its derivative is c…
Let f : R → R be a positive increasing function with = 1. Then .
Let f: be such that f(x) exists and
The value of p and q for which the function f(x) = is continuous for all x in R, are:
Define F(x) as the product of two real functions f 1 (x) = x, x ∈ R, and f 2 (x) =
as follows :
F(…