Applications Of Derivatives Question 301
Question: The function $ f(x)=x^{2} $ is increasing in the interval
Options:
A) $ (-1,,1) $
B) $ (-\infty ,,\infty ) $
C) $ (0,,\infty ) $
D) $ (-\infty ,,0) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ f(x)=x^{2}\Rightarrow f’(x)=2x>0 $ (for increasing) i.e., $ 0<x<\infty $ . Thus $ f(x) $ is increasing in $ (0,\infty ) $ .