Published by:
CGP EDU Academic Team
Published on: August 12, 2026
On which of the following intervals is the function x 100 + sin x -1 decreasing?
A
B
(0,l)
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
D
None of these
f(x) = x 100 + sinx-1
If 0 < x < 
, then f' (x) > 0, , therefore f (x) is increasing on 
.
If 0 < x < l, then
100x 99 > 0 and cos x > 0 [ 
x lies between 0 and 1 ]
f'(x) = 100x 99 + cosx> 0
f (x) is increasing on (0, 1).
If 
,then
is increasing in 
.
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