# Find the Derivative – d/dx y=(x+4)/(x-4)

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 .
Simplify the expression.
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.
Multiply by .
Simplify.
Apply the distributive property.
Simplify the numerator.
Combine the opposite terms in .
Subtract from .
Subtract from .
Multiply by .
Subtract from .
Move the negative in front of the fraction.
Find the Derivative – d/dx y=(x+4)/(x-4)

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