If $f: R \rightarrow R$ be definend by $f(x)=2 x+\cos x$, then $f$

JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

f: R \rightarrow R

be definend by

f(x)=2 x+\cos x

, then

f

View answer and explanation

Correct option: D

is an increasing function

Option D (is an increasing function) is correct because the derivative of the function, f'(x) = 2 - sin(x), is always positive, indicating that the function is always increasing.

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