Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The value of 
of Lagrange's mean value theorem for 
on 
is
A
B
5
C
D
1
Text Solution
Verified by ExpertsThe correct answer is:
A
: According to lagrange's mean value theorem for any function 
, there exist 
such that
Here, 
and 
And 
Now 
...(ii) 
On equating (i) and (ii), we get
Since, 
, So, 
──────────────────────────────────────────────────────────────────────────────────────────
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
A spherical balloon is filled with cubic metres of helium gas. If a leak in the balloon causes the…
If Rolle's theorem for is verified on , then the value of is
The approximate value of at is
The point on the curve at which -co-ordinate is changing 8 times as fast as -co-ordinate is
The point on the curve where the tangent is perpendicular to the line is
The maximum value of is