Multivariable Function Differentiation

Overview


A multi-variable function is a function that returns a real number, but depends on several inputs.
{% F(x_1, ... ,x_n) : (x_1, ... ,x_n) \rightarrow \mathbb{R} %}
The concept of differentiation can be applied to multi-variable functions, but are a little more complex. (see multi-variable differentiation)

Topics


The following are common multivariable differential objects that can be numerically estimated:

  • Gradient - the notion of the differential of a multi-variable function
  • Hessian - the second derivative of a multi-variable function