Objectives: In this tutorial, we define differentials and illustrate how
differentials can be used to make approximations.
- to understand the symbolic and geometric interpretations of differentials;
- to use differentials to approximate values of functions.
Definition. Let y = f(x) be a differentiable function.
The differential of x, dx, is an independent variable.
The differential of y is defined as
dy = f '(x) dx
- Drill problems on using differentials to make approximations.