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.
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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 .
Add and .
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 .
Add and .
Simplify.
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Apply the distributive property.
Simplify the numerator.
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Simplify each term.
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Expand by multiplying each term in the first expression by each term in the second expression.
Combine the opposite terms in .
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Reorder the factors in the terms and .
Add and .
Add and .
Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move to the left of .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Simplify each term.
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Multiply by .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Add and .
Combine the opposite terms in .
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Subtract from .
Add and .
Subtract from .
Add and .
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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