The derivative of a power function [math]f\left(x\right)=x^n[/math] is [math]f'\left(x\right)=\frac{d}{dx}x^n=nx^{n-1}[/math]. [br]Here we graph [math]f[/math] and [math]f'[/math] for various rational numbers [math]n=\frac{p}{q}[/math] with integer [math]p[/math] and [math]q[/math].