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

Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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

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