Published by:
CGP EDU Academic Team
Published on: August 12, 2026
f(x) = x + x –1 , then
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(c, d)
f '(x) = 1–1/x 2
f '(x) = 0 ⇒ x = ± 1 and f "(x) = 2/x 3 , f "(1) > 0 & f "(–1) < 0
f(x) has maximum value f(–1) and the minimum value f(1)
f(–1) = – 1 – 
= – 2
f(1) = 1 + 1/1 = 2
∴ max. f(x) < min. f(x)
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
If f(x) = cos π x + 10x + 3x 2 + x 3 , – 2 ≤ x ≤ 3 then absolute minimum value of f(x) is-
The function f(x) = x 5 – 5x 4 + 5x 3 – 1 has-
The function f(x) = has no extrema. if (n ∈ z)
If x exceeds by its square by the greatest possible quantity then x is-
An extreme value of the function
f(x) = (sin –1 x) 3 + (cos –1 x) 3 (–1 < x < 1) is
Let f(x) = (t + 4) 4 log (t+ 1) dt, then -