Power Rule

Power rule

For an exponent \(n\) and values of \(x\) for which the power function is differentiable,

\[\frac{\mathrm d}{\mathrm dx}(x^n)=nx^{n-1}.\]

For a linear inner function, \(\dfrac{\mathrm d}{\mathrm dx}(ax+b)^n=an(ax+b)^{n-1}\).