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

Find the Derivative - d/dx y=(x^3+8)/(x+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 .
Clarify the expression.
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Add and .
Put to the left of .
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 .
Clarify the expression.
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Add and .
First, multiply by .
Simplify.
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Use the distributive law.
Apply the distributive property.
Apply the distributive property.
Clarify the numerator.
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Clarify each term.
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Multiply by by adding the exponents.
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Put .
Multiply by .
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Raise to the power of .
Apply the power rule to Add exponents.
Add and .
Multiply by .
Multiply by .
Subtract from .
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