IB Math AI : 5.3 Derivatives of power functions

Derivatives of power functionsThe derivatives of power functions are fairly straightforward. For a function f(x) = x^n, where n is a constant, the derivative is f'(x) = nx^(n-1). So, for example, if f(x) = x^3, then f'(x) = 3x^2. This rule applies to any constant exponent, whether a positive or negative integer or a fraction.