Find the Derivative minus d divide dx (x to the power of three minus three x to the power of two plus four) divide(x to the power of two)

Find the Derivative - d/dx (x^3-3x^2+4)/(x^2)
Differentiate using the Quotient Rule which states that is where and .
Differentiate.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
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 .
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 .
Differentiate using the Power Rule which states that is where .
Simplify with factoring out.
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Multiply by .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Apply the distributive property.
Apply the distributive property.
Simplify the numerator.
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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 .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Multiply by .
Combine the opposite terms in .
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Add and .
Add and .
Subtract from .
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