

Understanding Derivatives and Their Applications
Interactive Video
•
Mathematics, Physics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function y = 3x^3 + 12x?
6x^2 + 12
9x^3 + 12
9x^2 + 12
3x^2 + 12
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the derivative operation?
It is the same as the squaring operation.
It can take a function as input and output another function.
It only works with linear functions.
It only outputs numbers.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a constant function?
Undefined
Zero
The constant itself
One
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function y = sin(x)?
cos(x)
-sin(x)
-cos(x)
tan(x)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of the function y = 12x^2?
0
24
24x
12
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the exponential function y = e^x?
e^(x+1)
xe^(x-1)
x^e
e^x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is used to differentiate a function of the form C * e^(ax)?
Product Rule
Quotient Rule
Chain Rule
Power Rule
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