
Calculating Derivatives and Exponents

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the second derivative of a polynomial function?
Use the chain rule
Find the first derivative
Simplify the expression
Apply the product rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the product rule, what is the derivative of the product of two functions f and g?
f * g' + f' * g'
f' * g' - f * g
f' * g + f * g'
f' * g' + f * g
Tags
CCSS.HSF.LE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of derivatives, what does the term 'f prime' refer to?
The original function
The integral of the function
The second derivative
The first derivative
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express the square root of x in terms of exponents?
x^(3/2)
x^(-1/2)
x^(1/2)
x^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the power rule to x^(1/2)?
x^(-1/2)
2 * x^(1/2)
x^(1/2)
1/2 * x^(-1/2)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the third derivative of x^(1/2) after simplification?
3/8 * x^(3/2)
3/8 * x^(-5/2)
3/8 * x^(-3/2)
3/8 * x^(5/2)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you rewrite 5/x^2 in terms of exponents?
5 * x^(-1/2)
5 * x^(1/2)
5 * x^(-2)
5 * x^2
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