Lie derivative of a function
= Lie derivative of a function
{c}
{title2=$\mathcal L_X f=X(f)$}
For a <smooth function> $f$ and a <vector field> $X$, the Lie derivative is $\mathcal L_Xf=X(f)=df(X)$. It is the derivative of $f$ along the <local flow> of $X$.