Chain rule with several variables Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/chain-rule-with-several-variables/quiz/

1. 1

   z = x² y, x = t², y = 3t, find dz/dt

   Answer: ____________________

2. 2

   z = x + y², x = t³, y = 2t, find dz/dt

   Answer: ____________________

3. 3

   z = 3xy, x = t², y = t, find dz/dt

   Answer: ____________________

4. 4

   z = x² + xy, x = t², y = t, find dz/dt

   Answer: ____________________

5. 5

   z = x² y + 2y, x = t, y = t², find dz/dt

   Answer: ____________________

6. 6

   z = x² y², x = t, y = t², find dz/dt

   Answer: ____________________

7. 7

   z = x³ − xy, x = t, y = 4t², find dz/dt

   Answer: ____________________

8. 8

   z = x² + 4y, x = t³, y = t², find dz/dt

   Answer: ____________________

9. 9

   z = 5xy + x², x = t², y = 3t, find dz/dt

   Answer: ____________________

10. 10

    z = x² + y³, x = 3t², y = 2t, find dz/dt

    Answer: ____________________