Not Quizzed 4. Logarithmic differentiation

Logarithmic Differentiation refers to the process of taking a logarithm of both sides of an equation before differentiating.

When do you use logarithmic differentiation? When log rules make an expression simpler! To review logarithm rules, see this.

Step 1: Take the natural log of both sides

Step 2: Simplify the expression with log rules

Pull powers out of the logarithms and put them out in front

Split up multiplied terms into logarithms that are added together

Split up divided terms into logarithms that are subtracted

Step 3: Take the derivative of both sides

Step 4: Multiply both sides by y

Step 5: Plug what y is equal to in where y was

Practice Worksheet

Another YouTube Video

For more on Logarithmic Differentiation, see here: