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###### Shwet Goyal posted an Question
October 25, 2021 • 01:49 am 30 points
• IIT JAM
• Mathematics (MA)

## 4tt0. men wal is une vaiue oi d s gquai let f(x) =x* sin(x) every point on the graph is rotated by 45 degree with respect to the origin along the radius equal t

4tT0. men wal is une vaiue OI D S Gquai Let f(x) =X* sin(x) Every point on the graph is rotated by 45 degree with respect to the origin along the radius equal to the radius vector at that point. Number of c that belong to [0,11r] exist such that f(c) = 0 is

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understand

• ##### Navdeep goyal 1 Best Answer

f'(c) =1 1+ cos c =1=> cos c =0 in [0,11π] 11 point where f'(c) =1

slop =dy/dx=tan 45 f'(x) =1+ cos x=1 cos x=0 x= pi/2,3 pi/2,5pi/2,7 pi/2,9pi/2,11pi/2,13pi/2,15pi/2,17pi/2,19pi/2,21pi/2 these 11 point

check all other questions if any dabut then dicuss me freely

Ok Sir, thankyou

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