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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
8306

Last 3 plays: Guest 73 (3/5), Guest 175 (5/5), Guest 75 (4/5).

This quiz has 2 formats: you can play it as a or as shown below.
Scroll down to the bottom for the answer key.

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

5x squared

6x squared

NEXT>

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

seven thirds y to the power of seven thirds

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 negative seven thirds

NEXT>

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

4x squared

4x squared - 3x

4x - 3

4x squared - 3x + 1

NEXT>

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>

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

x + 1

2x squared + 1

2x + 1

2x squared + x

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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.
Any errors found in FunTrivia content are routinely corrected through our feedback system.

Most Recent Scores

Jun 01 2023 : Guest 73: 3/5
May 27 2023 : Guest 175: 5/5
May 27 2023 : Guest 75: 4/5
May 26 2023 : emmal2000uk: 1/5
May 26 2023 : Guest 49: 3/5
May 20 2023 : Guest 175: 5/5
May 17 2023 : Guest 121: 4/5
May 16 2023 : Guest 86: 4/5
May 16 2023 : Guest 64: 5/5

Score Distribution

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Referenced Topics

Science By The Numbers Math Calculus

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