Published by:
CGP EDU Academic Team
Published on: August 12, 2026
A
B
C
0
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let f(x)= x - 2 sin x cos x+ 
sin3x
f'(x)= 1 - 2 cos 2x + cos 3x
f (x)= 4sin2x - 3sin3x
For maxima/minima f'(x)= 0
1 - 2(2cos 2 x - 1)+4cos 3 x - 3cosx = 0
So x = 
is local maxima point
Maximum value of f(x)= 
Hence this is the correct option
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