The function f(x) = x , + , x is - Vidyadip

MCQ

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

✓
Always increasing
B
Always decreasing
C
Increasing for certain range of $x$
D
None of these

✓

Answer

Correct option: A.

Always increasing

a
(a) $f(x) = x + \cos x$ ==> $f'(x) = 1 - \sin x$

$\Rightarrow$ $f'(x) > 0$ for all values of $x.$

$\therefore$ $f(x)$ is always increasing.

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