
Understanding Derivatives and the Power Rule

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
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 initial reaction to the problem of finding the derivative of G(x)?
It seems irrelevant.
It appears intimidating.
It seems straightforward.
It looks impossible.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is essential for finding the derivative of x^n?
Quotient Rule
Power Rule
Product Rule
Chain Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of cosine of x?
Sine of x
Cosine of x
Negative sine of x
Negative cosine of x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression pi over the cube root of x squared simplified?
pi over x^(1/3)
pi^2 over x^(1/3)
pi^2 over x^(2/3)
pi^2 over x^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What exponent is used when rewriting x to the -2/3 power?
-2/3
-4/3
-5/3
-1/3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 7 sin(x)?
7 cos(x)
7 sin(x)
-7 sin(x)
-7 cos(x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the constant factor handled when taking the derivative of a term?
It is ignored.
It is multiplied by the derivative.
It is added to the derivative.
It is divided by the derivative.
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