# Leibniz Rule for Directional Derivatives

• March 29th 2013, 06:10 PM
henderson7878
Leibniz Rule for Directional Derivatives
Show the following Leibniz Rule for directional derivatives holds.
Given v ∈ T_p(M) we have v[fg]=v[f]g(p)+f(p)v[g]
• January 27th 2015, 07:19 AM
Rebesques
Re: Leibniz Rule for Directional Derivatives
$v(fg)=\frac{d}{dt}\bigg\vert_0(fg)(\gamma(t)) = \ldots$