Directional derivative

D𝐯f(𝐱)=f(𝐱)𝐯D_\mathbf{v} f(\mathbf{x}) = \nabla f(\mathbf{x})^{\intercal}\mathbf{v}

where f(𝐱)\nabla f(\mathbf{x}) denotes the Gradient


References:

  1. https://www.chrismusco.com/amlds2023/notes/lecture06.html