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Find the derivatives for y=X+1/X-1

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Answer to a math question Find the derivatives for y=X+1/X-1

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Adonis
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$\frac{ \frac{ \mathrm{d} }{ \mathrm{d}x} \left( x+1 \right) \times \left( x-1 \right)-\left( x+1 \right) \times \frac{ \mathrm{d} }{ \mathrm{d}x} \left( x-1 \right) }{ {\left( x-1 \right)}^{2} }$
$\frac{ 1\left( x-1 \right)-\left( x+1 \right) \times \frac{ \mathrm{d} }{ \mathrm{d}x} \left( x-1 \right) }{ {\left( x-1 \right)}^{2} }$
$\frac{ 1\left( x-1 \right)-\left( x+1 \right) \times 1 }{ {\left( x-1 \right)}^{2} }$
$-\frac{ 2 }{ {\left( x-1 \right)}^{2} }$

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