Chain rule with several variables Quiz
10 questions · easy to harder · Calculus 3 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 0 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
z = x2 y, x = t2, y = 3t, find dz/dtType the answer.
2 Question 2
z = x + y2, x = t3, y = 2t, find dz/dtType the answer.
3 Question 3
z = 3xy, x = t2, y = t, find dz/dtType the answer.
4 Question 4
z = x2 + xy, x = t2, y = t, find dz/dtType the answer.
5 Question 5
z = x2 y + 2y, x = t, y = t2, find dz/dtType the answer.
6 Question 6
z = x2 y2, x = t, y = t2, find dz/dtType the answer.
7 Question 7
z = x3 − xy, x = t, y = 4t2, find dz/dtType the answer.
8 Question 8
z = x2 + 4y, x = t3, y = t2, find dz/dtType the answer.
9 Question 9
z = 5xy + x2, x = t2, y = 3t, find dz/dtType the answer.
10 Question 10
z = x2 + y3, x = 3t2, y = 2t, find dz/dtType the answer.