1.
Recall back to multivariable calculus. How was the gradient vector connected to the notion of directional derivatives?
Section 2.2 Gradient Vector Field
One important example of a vector field is that generated by the gradient of a scalar function, i.e. \(\nabla f\) . We studied this object a lot back in multivariable calculus and it has many nice properties such as point in the direction of maximal increase of the function \(f\text{.}\)
Learning Objectives:
- Describe the gradient vector field
