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APPLICATION OF DERIVATIVES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAPPLICATION OF DERIVATIVES2 Marks
Question
State whether $\text{f}(\text{x})=\tan\text{x}-\text{x}$ is increasing or decreasing its domain.
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Answer

$\text{f}(\text{x})=\tan\text{x}-\text{x}$$\text{f}'(\text{x})=\sec^2\text{x}-1$
$\tan^{2}\text{x}\geq0,\forall\ \text{x}\in[0,2\pi]$
So, f(x) is increasing in its domain.

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