Applying Multivariable Derivatives

Previously, we covered a lot of the theory behind multivariable derivatives, starting from the partial derivatives, the gradient, and the directional derivative, and ending with the Jacobian matrix. Now we will look at how to apply these concepts to solve some problems.

📄️ Tangent Planes of Graphs

Approximating multivariable functions with a plane.

📄️ Quadratic Approximations

Approximating a multivariable function with a quadratic function.

📄️ The Hessian Matrix

A matrix of second partial derivatives.

📄️ Multivariable Optimization

Finding maxima, minima, and saddle points of multivariable functions.