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AP Calculus AB 2.1 Defining Average and Instantaneous Rates of Change Question Bank

Practise AP Calculus AB 2.1 difference-quotient questions by evaluating a derivative limit at a point.

Exam points

evaluate a difference quotient limit as the instantaneous rate of change at a point

[Maximum number: 1]

If $f(x)=\ln x$ , then $\lim _{x \rightarrow 3} \frac{f(x)-f(3)}{x-3}$ is

A

$\frac{1}{3}$

B

$e^{3}$

C

$\ln 3$

D

nonexistent

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