zuai-logo

  • Home

  • Cliffs

  • Talk to ZuAi

Guest Login

zuai-logo
  3. ZuAI AP College Board Calculus AB/BC
FlashcardFlashcardStudy GuideStudy Guide
Question BankQuestion Bank

The Quotient Rule

Abigail Young

Abigail Young

5 min read

Study Guide Overview

This study guide covers the Quotient Rule for finding derivatives of rational functions. It provides the definition and a memory aid (Low D-High, High D-Low...). Several examples demonstrate the application and simplification of the Quotient Rule, including trigonometric and exponential functions. Practice problems and solutions reinforce understanding. Key takeaways and a formula image are included.

Feedback stars icon

How are we doing?

Give us your feedback and let us know how we can improve

Question 1 of 9

What is the correct formula for the Quotient Rule when finding the derivative of f(x)g(x)\frac{f(x)}{g(x)}g(x)f(x)​? 🤔

f′(x)g(x)−f(x)g′(x)(g(x))2\frac{f'(x)g(x) - f(x)g'(x)}{(g(x))^2}(g(x))2f′(x)g(x)−f(x)g′(x)​

f(x)g′(x)−g(x)f′(x)(g(x))2\frac{f(x)g'(x) - g(x)f'(x)}{(g(x))^2}(g(x))2f(x)g′(x)−g(x)f′(x)​

g(x)f′(x)+f(x)g′(x)(g(x))2\frac{g(x)f'(x) + f(x)g'(x)}{(g(x))^2}(g(x))2g(x)f′(x)+f(x)g′(x)​

g(x)f′(x)−f(x)g′(x)(g(x))2\frac{g(x)f'(x) - f(x)g'(x)}{(g(x))^2}(g(x))2g(x)f′(x)−f(x)g′(x)​