Question
यदि $y (\alpha)=\sqrt{2\left(\frac{\tan \alpha+\cot \alpha}{1+\tan ^{2} \alpha}\right)+\frac{1}{\sin ^{2} \alpha}}, \alpha \in\left(\frac{3 \pi}{4}, \pi\right)$ है, तो $\alpha=\frac{5 \pi}{6}$ पर $\frac{ dy }{ d \alpha}$ का मान है
$=\frac{|\sin \alpha+\cos \alpha|}{|\sin \alpha|}=\frac{-(\sin \alpha+\cos \alpha)}{\sin \alpha}$
$=-1-\cot \alpha$
$y^{\prime}(\alpha)=cosec ^{2} \alpha$
$y^{\prime}\left(\frac{5 \pi}{6}\right)=4$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.