Power Rule (Derivative)

ddx(xn)=nxn1\frac{d}{dx}(x^n) = nx^{n-1}

Description

Finds the derivative of power functions.

Variables

Symbol Meaning
n Power/exponent
x Variable

Example

Problem

Find d/dx(x⁵)

Solution

5x⁴

Real-World Applications

  • Optimization
  • Physics
  • Economics