Quotient Rule Quizzes, Questions & Answers

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Top Trending Quotient Rule Quizzes

Are you ready to divide and differentiate at the same time? In this quiz, you’ll learn how to use the Quotient Rule to find derivatives of functions written as one expression divided by another. You’ll work with...

Questions: 15 | Attempts: 16 | Last updated: Jan 29, 2026

Sample Question 1
What is the derivative of f(x) = (x² + 3)/(x - 1)?

(2x(x - 1) - (x² + 3))/(x - 1)²

(2x(x - 1) + (x² + 3))/(x - 1)²

(2x)/(x - 1)

(x² + 3)/(x - 1)²

Sample Question 2
Find the derivative of g(x) = (3x + 2)/(x² - 4).

(3(x² - 4) - (3x + 2)(2x))/(x² - 4)²

(3(x² - 4) + (3x + 2)(2x))/(x² - 4)²

(3)/(2x)

(3x + 2)/(2x)

Quotient Rule with Rational Functions

Think you’ve got the quotient rule figured out? This quiz helps you sharpen your skills with more challenging quotients that include trigonometric, exponential, logarithmic, and radical functions. You’ll practice...

Questions: 15 | Attempts: 11 | Last updated: Jan 29, 2026

Sample Question 1
What is the derivative of f(x) = (4x² - 3)/(2x + 1)?

(8x(2x + 1) - (4x² - 3)(2))/(2x + 1)²

(8x(2x + 1) + (4x² - 3)(2))/(2x + 1)²

(8x)/(2)

(4x² - 3)/(2)

Sample Question 2
Find the derivative of g(x) = (x³ + 2x² - x)/(x² + 3).

((3x² + 4x - 1)(x² + 3) - (x³ + 2x² - x)(2x))/(x² + 3)²

((3x² + 4x - 1)(x² + 3) + (x³ + 2x² - x)(2x))/(x² + 3)²

(3x² + 4x - 1)/(2x)

(x³ + 2x² - x)/(2x)

Recent Quotient Rule Quizzes

Quotient Rule Mastery & Applications

Ready to take the quotient rule to the next level? In this quiz, you’ll tackle advanced problems that combine the Quotient Rule with the Chain Rule, evaluate derivatives at specific points, and recognize when algebraic...

Questions: 15 | Attempts: 10 | Last updated: Jan 29, 2026

Sample Question
Find the derivative of f(x) = (x² + 3) / (x + 1)

[(2x)(x + 1) - (x² + 3)(1)] / (x + 1)²

[(2x)(x + 1) + (x² + 3)(1)] / (x + 1)²

[(2x)(1) - (x² + 3)(1)] / (x + 1)

(2x) / (1) - (x² + 3) / (x + 1)