Math, asked by lMrLovel, 6 days ago

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

Answers

Answered by IamIronMan0
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} } }

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