Applications Of Derivatives Question 212
Question: $ f(x)=x^{3}-27x+5 $ is an increasing function, when
[MP PET 1995]
Options:
A) $ x<-3 $
B) $ |x|,>3 $
C) $ x\le -3 $
D) $ |x|,<3 $
Show Answer
Answer:
Correct Answer: B
Solution:
To be increasing $ f’(x)=3x^{2}-27>0 $
$ \Rightarrow x^{2}>9 $
therefore $ |x|>3 $ .