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Small Derivatives Quiz

This is an easy quiz for anyone who took calculus. Good Luck!

A multiple-choice quiz by Lanire. Estimated time: 3 mins.

Author
Lanire

Time
3 mins

Type
Multiple Choice

Quiz #
69,815

Updated
Dec 03 21

# Qns
5

Difficulty
Average

Avg Score
4 / 5

Plays
8408

Last 3 plays: TERRYHURST22 (5/5), Guest 174 (4/5), Guest 223 (3/5).

One at a Time - Single Page - Timed Game

Question 1 of 5

1. What is the derivative of 'y = 3x squared'? Hint

5x squared

6x squared

NEXT>

Question 2 of 5

2. What is the derivative of 'f(y) = 2y to the power of one third'? Hint

two thirds y to the power of negative two thirds

two thirds y to the power of two thirds

seven thirds y to the power of seven thirds

seven thirds y to the power of negative seven thirds

NEXT>

Question 3 of 5

3. What is the derivative of 'y = 2x squared - 3x + 4'? Hint

4x - 3

4x squared - 3x + 1

4x squared - 3x

4x squared

NEXT>

Question 4 of 5

4. What is the derivative of 'y = (2x + 3)squared'? Hint

4 (2x + 3)

2 (2x + 3) squared

2 (2x + 3)

4 (2x + 3) squared

NEXT>

Question 5 of 5

5. What is the derivative of 'f(x) = x(x + 1)'? Hint

2x squared + 1

x + 1

2x squared + x

2x + 1

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Most Recent Scores

Today : TERRYHURST22: 5/5
May 08 2025 : Guest 174: 4/5
Apr 22 2025 : Guest 223: 3/5
Apr 02 2025 : hellobion: 5/5
Mar 28 2025 : AkirahWindsor: 5/5

Score Distribution

Quiz Answer Key and Fun Facts

1. What is the derivative of 'y = 3x squared'?

Answer: 6x

The example illustrates the Power Rule for derivatives. Using the rule, you multiply the power of x by the constant before x and reduce the power of x by one to get the derivative.

2. What is the derivative of 'f(y) = 2y to the power of one third'?

Answer: two thirds y to the power of negative two thirds

The Power Rule as in the first question: multiply the power of x by the constant before x and reduce the power of x by one to get the derivative.

3. What is the derivative of 'y = 2x squared - 3x + 4'?

Answer: 4x - 3

This derivative can be found using the Sum Rule.

4. What is the derivative of 'y = (2x + 3)squared'?

Answer: 4 (2x + 3)

This is an example of how a Chain Rule is used. Firstly, you take the power of the bracket and multiply it by the bracket itself taking one power off the bracket. Then you take the derivative of the expression inside the bracket and multiply it by the number in front of the bracket.

5. What is the derivative of 'f(x) = x(x + 1)'?

Answer: 2x + 1

This can be solved using either the Product Rule or by multiplying x through the bracket and using the Sum Rule.

Source: Author Lanire

This quiz was reviewed by FunTrivia editor rossian before going online.
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