Find the Derivative f(x)=2x-500/x

Math
By the Sum Rule, the derivative of with respect to is .
Evaluate .
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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 .
Evaluate .
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Since is constant with respect to , the derivative of with respect to is .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Multiply by .
Rewrite the expression using the negative exponent rule .
Simplify.
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Combine and .
Reorder terms.
Find the Derivative f(x)=2x-500/x

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