4. Contextual Applications of Differentiation

Approximating Values Of A Function Using Local Linearity And Linearization — Quiz

Test your understanding of approximating values of a function using local linearity and linearization with 5 practice questions.

Practice Questions

Question 1

What is the main idea of linearization at a point $a$?

Question 2

If $f(2)=5$ and $f'(2)=-3$, what is the linearization of $f$ at $x=2$?

Question 3

Suppose $f(4)=10$ and $f'(4)=2$. Use linearization to estimate $f(4.1)$.

Question 4

For which value of $x$ is linearization usually expected to work best?

Question 5

A function $f$ has $f(1)=3$ and $f'(1)=4$. What is the tangent line approximation of $f(0.9)$?