The power rule allows one WE ARE THE TK CONSERVAPEDIA DESTRUCTION ARMYWelcome to calculate the derivative of a power of a function in terms of the derivative of the function itself. The power rule states that <math> \frac{d}{dx} (x^n) = nx^{n-1} </math> for all integers <math> n </math>. This rule is useful when combined with the [[chain rule]]. As an example we can compute the derivative of <math> f(x) = (\sin(x))^n</math> as <math> f'(x) = \frac{d}{dx} (\sin(x))^n = n(\sin(x))^{n-1}\cos(x) </math> [[Category:Mathematics]]guild TK