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 $f(x)=\frac{u(x)}{v(x)}$?

Question 2

Find $f'(x)$ if $f(x)=\frac{x^2}{x+1}$.

Question 3

Evaluate $f'(0)$ for $f(x)=\frac{3x+1}{2x-5}$.

Question 4

Find $f'(x)$ if $f(x)=\frac{\sin x}{x^2}$.

Question 5

Suppose $f(x)=\frac{1}{g(x)}$. If $g(a)=2$ and $g'(a)=4$, what is $f'(a)$?