Derivative of a power

(x^n)'=n x^{n-1}

Result unit: — (funkcja)

What it describes

The derivative of a power function.

x

variable

n

exponent

The exponent "comes down" as a factor, and then decreases by 1. This is the most frequently used rule of differentiation.

Differentiating polynomials and power functions.

Find the derivative of the function

x^4

Substitution

n=4

Result

(x^4)'=4x^3

Found this formula useful? Share it.

It's free — send it to a friend who's revising.

Teaching? Embed this formula on your site.

Free widget — paste it on your school site, blog or notes. It links to the full version.