Nov 16, 2022 · In this section we will discuss logarithmic differentiation. Logarithmic differentiation gives an alternative method for differentiating products and quotients (sometimes easier than …

Working with derivatives of logarithmic functions. 12 examples and interactive practice problems explained step by step.

Since the derivative of log x directly follows from the derivative of logₐ x, it is sufficient to prove the latter one. Let us prove this formula using different methods in the upcoming sections.

Nov 14, 2025 · Use logarithmic differentiation to determine the derivative of a function. So far, we have learned how to differentiate a variety of functions, including trigonometric, inverse, and …

May 24, 2024 · How to find the derivatives of natural and common logarithmic functions with rules, formula, proof, and examples.

Jul 23, 2025 · Derivatives of the log functions are used to solve various differentiation of complex functions involving logarithms. The differentiation of logarithmic functions makes the product, …

Feb 22, 2021 · Together we will look at five questions involving polynomials, trig, exponentials, and of course, log functions, as we learn how to apply logarithmic differentiation with ease.

You can differentiate (using the difference quotient) to prove that any arbitrary logarithm can be changed into the form, since you can always differentiate using change of base to logarithms first.

The process of differentiating $y=f (x)$ with logarithmic differentiation is simple. Take the natural log of both sides, then differentiate both sides with respect to $x$.

Derivatives of logarithmic functions are mainly based on the chain rule. However, we can generalize it for any differentiable function with a logarithmic function. The differentiation of log …