Differentiate using the Quotient Rule which states that is where and .

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.

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 .

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)