Implicit differentiation Quiz
10 questions · easy to harder · Calculus · 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
x2 + y2 = 25, find dy/dxType the answer.
2 Question 2
y2 = 4x, find dy/dxType the answer.
3 Question 3
x2 + y2 = 100, find the slope at (6, −8)Type the answer.
4 Question 4
x2 + 4y2 = 20, find dy/dxType the answer.
5 Question 5
Xy = 6, find the slope at (2, 3)Type the answer.
6 Question 6
x3 + y3 = 9, find dy/dxType the answer.
7 Question 7
y2 + 3y = x2, find dy/dxType the answer.
8 Question 8
3x2 + y2 = 21, find the slope at (2, 3)Type the answer.
9 Question 9
x2 + xy + y2 = 7, find dy/dxType the answer.
10 Question 10
Xy + y2 = 12, find dy/dxType the answer.