Section 3.6 Derivatives of Logarithmic Functions

The derivative of the natural log of “something” is 1 over the “something” times the derivative of the “something” or the derivative of “something” over “something.”

Example Differentiate

Example Find

Example Differentiate

Example Differentiate

Example Differentiate

Example Differentiate

Logarithmic Differentiation Example Differentiate

Steps in Logarithmic Differentiation Take natural logs of both sides of an equation and use the Laws of Logarithms to simplify. Differentiate implicitly with respect to x. Solve the resulting equation for y’.

Example Differentiate