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Application of Derivatives — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSApplication of Derivatives1 Mark
Question
The function $f(x)=\tan x-x$
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Answer

(a) : $f(x)=\tan x-x$
$
\Rightarrow f^{\prime}(x)=\sec ^2 x-1=\tan ^2 x
$
$\tan ^2 x$ is always +ve, so $f^{\prime}(x)>0 \therefore f(x)$ always increases.

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