Derivative of the natural exponential function

The natural exponential function exp(x) = e^x is its own derivative and equals 1 at x = 0. This pair of facts is the defining property used throughout calculus and differential equations.

\frac{\mathrm d}{\mathrm dx}\exp(x)=\exp(x),\quad\exp(0)=1

What the symbols mean

real input variable
natural exponential function, equal to e^x where e is Euler's number

About this formula

  • FieldMathematics
  • TopicCalculus
  • LevelUniversity
  • Also callednatural exponential function, exp derivative, derivative of exponential function, exponential function derivative, exp x derivative, exponential function
  • SourceWikidata Q47306354

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