Power rule

Gives the derivative of a variable raised to a constant power: the exponent multiplies the power, and the power drops by one. It is the basic differentiation rule used for polynomials and power functions.

\frac{\mathrm{d}}{\mathrm{d}x}x^n = nx^{n-1}

What the symbols mean

the variable with respect to which differentiation is performed
a constant real exponent

About this formula

  • FieldMathematics
  • TopicDifferential calculus
  • LevelHigh school
  • Also calleddifferentiating power function, power rule for derivatives, derivative of a power
  • SourceWikidata Q1190543

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