Differentials Quiz
10 questions · easy to harder · Calculus 1 · 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.
- 4 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
Find dy for y = x2 when x = 3 and dx = 0.1- A) 0.06
- B) 6
- C) 0.6
2 Question 2
Find dy for y = x2 + 3x when x = 1 and dx = 0.01Type the answer.
3 Question 3
Find dy for y = 2x2 − x when x = 4 and dx = 0.05- A) 15
- B) 0.75
- C) 7.5
- D) −0.75
4 Question 4
Find dy for y = x2 − 5x when x = 3 and dx = −0.1Type the answer.
5 Question 5
Find dy for y = x3 − 2x when x = 2 and dx = 0.1, and compare with Δy- A) 10
- B) −1
- C) 1
- D) 0.1
6 Question 6
The cube has side 10 cm, measured with a possible error of 0.1 cm. Estimate the error in the volume.Type the answer.
7 Question 7
The square has side 8 m, measured with a possible error of 0.1 m. Estimate the error in the area.Type the answer.
8 Question 8
The circle has radius 8 cm, measured with a possible error of 0.1 cm. Estimate the error in the area.Type the answer.
9 Question 9
The sphere has radius 5 cm, measured with a possible error of 0.1 cm. Estimate the error in the volume.- A) 314.2 cm³
- B) 3.142 cm³
- C) 31.42 cm³
10 Question 10
The cube has side 10 cm, measured with a possible error of 0.1 cm. Estimate the percentage error in the volume.Type the answer.