Power Rule for Derivatives

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.