
Understanding Derivatives and Product Rule

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial form of the function given in the video?
F(x) = 3x^12 * ln(x)
F(x) = 3x^2 * ln(x)
F(x) = 3x^1/2 * ln(x)
F(x) = 3x^3 * ln(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to differentiate the product of two functions?
Chain Rule
Power Rule
Quotient Rule
Product Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the product rule, if U is 3x^1/2, what is V?
1/x
3x^1/2
ln(x)
x^2
Tags
CCSS.HSA.APR.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(x) with respect to x?
x
1/x
ln(x)
x^2
Tags
CCSS.HSA.APR.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression 3x^12 simplified after applying the product rule?
3x^2
3x^-2
3x^1/2
3x^3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a possible form of the derivative function?
3x^1/2 + ln(x)/x^2
3x^3 + ln(x)/x^1/2
3x^2 + ln(x)/x
3/x^2 + 3ln(x)/2x^1/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common denominator used to combine the fractions in the derivative function?
x^2
2x^1/2
2x
x^1/2
Create a free account and access millions of resources
Similar Resources on Wayground
6 questions
Using the power rule of logarithms to take the derivative of a natural log

Interactive video
•
11th Grade - University
11 questions
Understanding the Unique Solution of a Function

Interactive video
•
9th - 12th Grade
11 questions
Mastering AP Calculus AB Multiple-Choice Questions

Interactive video
•
9th - 12th Grade
11 questions
Koshi Oiler Differential Equations Concepts

Interactive video
•
10th - 12th Grade
6 questions
Learn how to take the derivative using implicit differentiation by taking the ln of both

Interactive video
•
11th Grade - University
11 questions
Understanding Differential Equations

Interactive video
•
9th - 12th Grade
8 questions
Derivatives of Logarithmic and Exponential Functions

Interactive video
•
11th Grade - University
11 questions
Calculus Derivatives and Logarithms

Interactive video
•
10th - 12th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
9 questions
Geometry and Trigonometry Concepts

Interactive video
•
9th - 12th Grade
31 questions
2.1.3 Angle relationships

Quiz
•
10th - 11th Grade
23 questions
Geometry - Conditional Statements

Quiz
•
9th - 10th Grade
10 questions
Angle Relationships with Parallel Lines and a Transversal

Quiz
•
9th - 12th Grade
17 questions
Parallel lines cut by a transversal

Quiz
•
10th Grade
10 questions
Simplifying Radicals

Quiz
•
10th Grade