Question

Q1.The derivative of cosec^-1 (x²) is​.

Answer 1

Answer:

$\huge\green{\frac{ - 2}{x \sqrt{1 - {x}^{4} } }}$

Step-by-step explanation:

$\frac{d}{dx} ( \csc {}^{ - 1} ( {x}^{2} ) ) \\ \\ = \frac{ - 1}{ | {x}^{2} | \sqrt{1 - { ({x}^{2} )}^{2} } } . \frac{d}{dx} ( {x}^{2} ) \\ \\ = \frac{ - 2x}{ {x}^{2} \sqrt{ 1 - { ({x}^{2} )}^{2} } } \\ \\ = \frac{ - 2}{x \sqrt{1 - {x}^{4} } }$