
Understanding Derivatives
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function f(x) = x^2 using the limit definition?
x^2
x
0
2x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If f(x) = x^3, what is the derivative f'(x)?
2x
x^3
x^2
3x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general rule for finding the derivative of f(x) = x^n?
nx^(n-1)
x^n
x^(n-1)
n*x^(n+1)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the derivative of a function multiplied by a constant, such as 5x^2?
Subtract the constant from the derivative of the function
Divide the constant by the derivative of the function
Add the constant to the derivative of the function
Multiply the constant by the derivative of the function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of g(x) = 3x^12?
x^11
12x^11
3x^12
36x^11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the addition rule for derivatives state?
The derivative of a sum is the difference of the derivatives
The derivative of a sum is the product of the derivatives
The derivative of a sum is the quotient of the derivatives
The derivative of a sum is the sum of the derivatives
Tags
CCSS.HSF.IF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If f(x) = 3x^2 + 5x + 3, what is f'(x)?
6x + 5
3x^2 + 5
5x + 3
6x^2 + 5x
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