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Then number of local maxima of the funct...

Then number of local maxima of the function `f (x) = x - sin x ` is :

A

Infinitely many

B

Two

C

One

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
D
f(x) =1 - cos x =0 `{:(cosx =1 ),(x=2n pi):}` also `{:(f(x)=sinx),(f(2n pi )=0):}`
Also we can say f(x) =1 -cos x =2 `cos^(2)"" (x)/(2) gt= 0` thus there is no local maxima or minima (Non-decreasing)
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