Lesson Plan: Directional Derivatives and Gradient
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find a derivative of multivariable functions in a given direction (directional derivative) and find the gradient vector of the function.
Objectives
Students will be able to
- calculate partial derivatives of the functions ,
- relate gradients of composite multivariable functions to the gradients and Jacobians of their components,
- calculate the gradients of composite multivariable functions using the chain rule and the Jacobian matrix.
Prerequisites
Students should already be familiar with
- gradients,
- the chain rule,
- multivariable functions.