By the Sum Rule, the derivative of with respect to is .

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 .

Rewrite as .

Differentiate using the Power Rule which states that is where .

Multiply by .

Rewrite the expression using the negative exponent rule .

Combine and .

Reorder terms.

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