AP®︎ Calculus AB: Topic 2.9 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.9 of AP Calculus AB – The Quotient Rule.


Questions List

Topic 2.9

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Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13

Question 1 Easy

Let ff and gg be differentiable functions, with g(x)≠0g(x)\neq 0, and let h(x)=f(x)g(x)h(x)=\frac{f(x)}{g(x)}.

Which expression equals h′(x)h'(x)?

Af(x)g′(x)−g(x)f′(x)[g(x)]2\frac{f(x)g'(x)-g(x)f'(x)}{[g(x)]^2}
Bg(x)f′(x)+f(x)g′(x)[g(x)]2\frac{g(x)f'(x)+f(x)g'(x)}{[g(x)]^2}
Cg(x)f′(x)−f(x)g′(x)g(x)\frac{g(x)f'(x)-f(x)g'(x)}{g(x)}
Dg(x)f′(x)−f(x)g′(x)[g(x)]2\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 2.9: The Quotient Rule

Learning Objective: FUN-3.B

Calculate derivatives of products and quotients of differentiable functions.

Essential Knowledge: FUN-3.B.2

Derivatives of quotients of differentiable functions can be found using the quotient rule.