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 ) $ .