2. Differentiation(COLON) Definition and Fundamental Properties

The Quotient Rule — Quiz

Test your understanding of the quotient rule with 5 practice questions.

Practice Questions

Question 1

What is the Quotient Rule for the derivative of $y=\frac{f(x)}{g(x)}$ when $g(x)\neq 0$?

Question 2

Find the derivative of $y=\frac{x^2}{x+1}$.

Question 3

Which expression shows the correct first step when differentiating $y=\frac{3x-1}{x^2}$ using the Quotient Rule?

Question 4

Find the derivative of $y=\frac{1}{x^3}$ using the Quotient Rule.

Question 5

If $y=\frac{f(x)}{g(x)}$, why must $g(x)\neq 0$ for the Quotient Rule to apply?