Logarithmic differentiation is a method to differentiate complex expressions that are usually very difficult/tedious to differentiate using other rules by taking the derivative of the natural log of the expressions (both left and right side). It basically goes like this:
1. As the equation shows that the left side equals the right side, you can conclude that the natural log of the left side of the equation equals to the natural log of the right side of the equation.
2. Now, take a derivative of both sides (implicit differentiation)
Hi, thank you for your question.
Logarithmic differentiation is a method to differentiate complex expressions that are usually very difficult/tedious to differentiate using other rules by taking the derivative of the natural log of the expressions (both left and right side). It basically goes like this:
1. As the equation shows that the left side equals the right side, you can conclude that the natural log of the left side of the equation equals to the natural log of the right side of the equation.
2. Now, take a derivative of both sides (implicit differentiation)
3. Rearrange the equation for dy/dx.
Does this answer your question?