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

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

Jul 23, 2025 · Method of finding a function's derivative by first taking the logarithm and then differentiating is called logarithmic differentiation. This method is specially used when the …

Jun 3, 2025 · This section covers the derivatives of logarithmic, inverse trigonometric, and inverse hyperbolic functions. It explains how to differentiate these functions, providing specific …

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 …

Review your logarithmic function differentiation skills and use them to solve problems.

Differentiation of logarithmic functions with examples and detailed solutions.