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 $ .