Jul 23, 2025 · In this article, we will discuss the derivative of natural log x, various methods to derive it including the first principal method and implicit differentiation, some solved examples, …

Dec 21, 2020 · In this section, we explore derivatives of logarithmic functions. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated …

Nov 16, 2022 · In this section we derive the formulas for the derivatives of the exponential and logarithm functions.

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

In this lesson, we are going to see what is the derivative of ln x. We know that ln x is a natural logarithmic function. It means "ln" is nothing but "logarithm with base e". i.e., ln = logₑ. The …

The derivative of the natural logarithmic function (ln [x]) is simply 1 divided by x. This derivative can be found using both the definition of the derivative and a calculator.

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

Since we know how to differentiate exponentials, we can use implicit differentiation to find the derivatives of ln(x) ln (x) and loga(x) log a (x). The videos below walk us through this process.

Now that we have the derivative of the natural exponential function, we can use implicit differentiation to find the derivative of its inverse, the natural logarithmic function. If x> 0 and y …

When the argument of the logarithmic function involves products or quotients we can use the properties of logarithms to make differentiating easier. For example, consider $$f (x) = \ln …