Derivada ln(x)

ln'(x) = 1/x.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

ln'(x)
0,500000

Formula

derivada

About this calculator

The calculator of the derivative of ln(x) is a useful tool for mathematics students, especially those studying advanced calculus. With this calculator, you can find the derivative of any function involving the natural logarithm (ln).

The formula of the derivative of ln(x) is simple: ln'(x) = 1/x. This means that the derivative of the function ln(x) with respect to x is equal to 1 divided by x. This formula is fundamental to understand how logarithmic functions behave.

The calculator of the derivative of ln(x) is especially useful when you are working with composite functions or when you need to find the derivative of a function involving the natural logarithm. Additionally, it's essential to remember that the derivative is a measure of the rate of change of a function, thus it's crucial to understand how it behaves at different points.

Frequently asked questions

What is the derivative of ln(x)?

The derivative of ln(x) is the rate of change of the function ln(x) with respect to x. It is equal to 1 divided by x, that is, ln'(x) = 1/x.

When should I use the calculator of the derivative of ln(x)?

You should use the calculator of the derivative of ln(x) when you are working with composite functions or when you need to find the derivative of a function involving the natural logarithm. It is also useful to understand how logarithmic functions behave.

What is the formula of the derivative of ln(x)?

The formula of the derivative of ln(x) is simple: ln'(x) = 1/x.

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