Question 1
What is the primary purpose of using linearization to approximate a function?
Question 2
Given a differentiable function $f(x)$, the linearization $L(x)$ at $x=a$ is defined as:
Question 3
If $y = f(x)$, what does the differential $dy$ represent in the context of linearization?
Question 4
For the function $f(x) = x^2$, what is the linearization at $x=2$?
Question 5
When is linearization a good approximation for a function?
