Derivative of the natural logarithm

Gives the rate of change of the natural logarithm of x with respect to x, for x greater than zero. It is a basic differentiation rule used throughout calculus.

\frac{d}{dx}\ln x = \frac{1}{x}

What the symbols mean

positive real number (x > 0), the independent variable

About this formula

  • FieldMathematics
  • TopicDifferential calculus
  • LevelHigh school
  • Also calledd/dx ln x, derivative of ln x, derivative of logarithm, natural log derivative, ln x differentiation, calculus logarithm rule

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