Partial derivatives Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/partial-derivatives/quiz/

1. 1

   Partial derivatives of f(x, y) = x² y + 3y

   Answer: ____________________

2. 2

   Partial derivatives of f(x, y) = 3x + 2y

   Answer: ____________________

3. 3

   Partial derivatives of f(x, y) = 4x² − 5y

   Answer: ____________________

4. 4

   Partial derivatives of f(x, y) = x³ + 2xy

   Answer: ____________________

5. 5

   Partial derivatives of f(x, y) = 3x² + 2xy − y³ at (1, 2)

   Answer: ____________________

6. 6

   Partial derivatives of f(x, y) = 5x³ − 2x² y + y

   Answer: ____________________

7. 7

   Partial derivatives of f(x, y) = x⁴ − 3xy² + 6y

   Answer: ____________________

8. 8

   Partial derivatives of f(x, y) = 2xy³ − x² at (3, −1)

   Answer: ____________________

9. 9

   Partial derivatives of f(x, y, z) = x² y + yz³

   Answer: ____________________

10. 10

    Second partial derivatives of f(x, y) = 4x³ − 2xy + y⁴

    Answer: ____________________