# Power Rule for Derivatives

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**Formula:**`d/dx(x^n) = nx^(n-1)`

## Introduction to Power Rule for Derivatives

The power rule states that the derivative of a function of the form `f(x) = x^n`

is `f'(x) = nx^(n-1)`

, where `n`

is a constant. In calculus, this rule is applied to find the derivative of a polynomial function.

## Parameter usage:

`base`

= base value of the function`exponent`

= exponent of the function

## Output:

`result`

= derivative of the function with respect to`x`

## Data validation

The exponent should be a non-negative number.

## Summary

The power rule for derivatives is a fundamental concept in calculus that allows for the determination of the derivatives of polynomial functions, facilitating the analysis of their behavior and properties.

Tags: Calculus, Derivatives, Polynomial Functions, Mathematics