Power Rule
The Power Rule is a fundamental principle in calculus used to differentiate functions of the form f(x) = x^n, where n is any real number. According to this rule, the derivative of the function is found by multiplying the coefficient by the exponent and then reducing the exponent by one. Mathematically, it is expressed as f'(x) = n * x^(n-1).
This rule simplifies the process of finding derivatives, making it easier to analyze the behavior of functions. It applies to polynomial functions and is essential for solving problems in various fields, including physics, engineering, and economics, where understanding rates of change is crucial.