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Quiz about Small Derivatives Quiz
Quiz about Small Derivatives Quiz

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.
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Author
Lanire
Time
3 mins
Type
Multiple Choice
Quiz #
69,815
Updated
Dec 03 21
# Qns
5
Difficulty
Average
Avg Score
4 / 5
Plays
8378
Last 3 plays: jonnowales (5/5), Guest 75 (4/5), Guest 205 (4/5).
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Question 1 of 5
1. What is the derivative of 'y = 3x squared'? Hint


Question 2 of 5
2. What is the derivative of 'f(y) = 2y to the power of one third'? Hint


Question 3 of 5
3. What is the derivative of 'y = 2x squared - 3x + 4'? Hint


Question 4 of 5
4. What is the derivative of 'y = (2x + 3)squared'? Hint


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



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Most Recent Scores
Mar 07 2024 : jonnowales: 5/5
Mar 02 2024 : Guest 75: 4/5
Feb 29 2024 : Guest 205: 4/5
Feb 25 2024 : Guest 166: 0/5
Feb 23 2024 : dim_dude: 4/5
Feb 10 2024 : Guest 175: 0/5
Feb 05 2024 : PurpleComet: 5/5
Feb 03 2024 : Guest 104: 4/5

Score Distribution

quiz
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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