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Application of Derivatives — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSApplication of Derivatives1 Mark
Question
The function $f(x)=x+\sin x$ is
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Answer

(a) : $\because f(x)=x+\sin x$
Differentiating w.r.t. $x$, we get $f^{\prime}(x)=1+\cos x$
$f^{\prime}(x) \geq 0$ for all values of $x$
$(\because \cos x$ is lying between -1 to 1 )
$\therefore f(x)$ is always increasing.

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