, but here I don’t use the language of differentials to describe the idea of linear approximations.
Module Learning Objectives.
Understand the concept of linear approximation
Apply linear approximation to estimate function values
Video4.4.1.Linear Approximation.
If we look at a function (in particular a nice differentiable one) nearby a point, the function can be approximated using the tangent line. In this video we will use our knowledge of derivatives to estimate the values of functions around a point.
Post-video reflection.
Why did we choose x=1 as our point to approximate by? Would it have been reasonable to choose something else like x=1.3 or x=9?
