Find the Derivative f(x)=x/(x^2-1)

Math
Differentiate using the Quotient Rule which states that is where and .
Differentiate.
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Differentiate using the Power Rule which states that is where .
Multiply by .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
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Add and .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Subtract from .
Simplify.
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Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Move the negative in front of the fraction.
Find the Derivative f(x)=x/(x^2-1)

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