Applications Of Derivatives Question 265

Question: The function $ f(x)=x,+,\cos x $ is

[DCE 2002]

Options:

A) Always increasing

B) Always decreasing

C) Increasing for certain range of x

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ f(x)=x+\cos x $

therefore $ {f}’(x)=1-\sin x $

$ {f}’(x)>0 $ for all values of x. \ $ f(x) $ is always increasing.