Differentiate both sides of the equation.

The derivative of with respect to is .

Differentiate using the Quotient Rule which states that is where and .

The derivative of with respect to is .

Differentiate using the Power Rule.

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Differentiate using the Power Rule which states that is where .

Multiply by .

Reform the equation by setting the left side equal to the right side.

Replace with .

Find dy/dx y=( natural log of x)/x