2. Differentiation(COLON) Definition and Fundamental Properties

Estimating Derivatives Of A Function At A Point — Quiz

Test your understanding of estimating derivatives of a function at a point with 5 practice questions.

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Practice Questions

Question 1

What does the derivative of a function at a point most directly represent?

Question 2

Which expression gives the derivative of $f$ at $x=a$ using the limit definition?

Question 3

If the graph of $f$ is smooth near $x=2$, which statement best describes how to estimate $f'(2)$ from a graph?

Question 4

A function is differentiable at a point only if it is also what at that point?

Question 5

If $f'(3)=0$, what does this tell you about the graph of $f$ at $x=3$?