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If y = cosec-1 x,x>1,then show that x(x2-1)\(\frac{d^2y}{dx^2}\) + (2x2-1)\(\frac{dy}{dx}=\)0

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∵  y = cosec-1x

Differentiating with respect to x, we get

∴ \(\frac{dy}{dx}=\frac{-1}{x\sqrt{x^2-1}}\)

Again differentiating with respect to x, we get

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