Find the Derivative minus d divide dx y equals(x to the power of two plus two x minus two) divide(x to the power of two minus two x plus two)

Find the Derivative - d/dx y=(x^2+2x-2)/(x^2-2x+2)
Differentiate using the Quotient Rule which states that is where and .
Differentiate.
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 .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
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 .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Simplify.
Apply the distributive property.
Simplify the numerator.
Simplify each term.
Expand by multiplying each term in the first expression by each term in the second expression.
Combine the opposite terms in .
Reorder the factors in the terms and .
Simplify each term.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Move to the left of .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Simplify each term.
Multiply by .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Combine the opposite terms in .
Subtract from .
Subtract from .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Move the negative in front of the fraction.
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