Power Rule for Derivatives


Output: Press calculate


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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.

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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