# Find dy/dx y = natural log of 2x

Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate.
Since is constant with respect to , the derivative of with respect to is .
Simplify terms.
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
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 2x