Applications Of Derivatives Question 359
Question: The function $ \sin x-bx+c $ will be increasing in the interval $ (-\infty ,\infty ) $ , if
Options:
A) $ b\le 1 $
B) $ b\le 0 $
C) $ b<-1 $
D) $ b\ge 0 $
Show Answer
Answer:
Correct Answer: C
Solution:
Let $ f(x)=\sin x-bx+c $
$ \therefore f’(x)=\cos x-b>0 $ or $ \cos x>b $ or $ b<-1 $ .
BETA
