Applications Of Derivatives Question 195

Question: For all real values of x, increasing function f(x) is

[MP PET 1996]

Options:

A) $ {x^{-1}} $

B) $ x^{2} $

C) $ x^{3} $

D) $ x^{4} $

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Answer:

Correct Answer: C

Solution:

Since $ f(x)=x^{3}\Rightarrow f’(x)=3x^{2}, $ which is non-negative for all real values of x.