Question

if sec^-1 (cosecx) find dy/dx​

Answer 1

${\bold {\huge{\red {\boxed {\tt {kida's \:Answer}}}}}}$

$\frac{d}{dx} {sec}^{ - 1} (cosec \: x)$

by product rule

$cosec \: x \frac{d}{dx} ( {sec}^{ - 1} ) + sec^{ - 1} \frac{d}{dx} (cosec \: x)$

$cosec \: x \: \frac{1}{x \sqrt{x^{2} - 1 } } - cosec \: x \: cot \: x \: ( {sec}^{ - 1} )$