Final answer:
To find dy/dx using logarithmic differentiation, follow these steps: take natural logarithm, simplify using logarithmic properties, differentiate implicitly, isolate dy/dx, replace variables, and solve.
Step-by-step explanation:
To find dy/dx using logarithmic differentiation, we follow these steps:
Take the natural logarithm of both sides of the equation.
Apply logarithmic properties to simplify the equation.
Differentiate implicitly with respect to x.
Isolate dy/dx on one side of the equation.
Replace any y or dy/dx terms using the original equation in step 1.
Solve for dy/dx.