
Understanding Derivatives and Chain Rule

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
+3
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial problem involving functions f and g?
Finding the maximum value of f(x)
Calculating the integral of g(x)
Solving for x in g(f(x)) = 0
Determining the value of G'(5)
Tags
CCSS.HSF-BF.A.1B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is G(x) represented using h(x)?
G(x) = h(x) + g(f(x))
G(x) = h(g(x))
G(x) = h(g(f(x)))
G(x) = h(f(x))
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical rule is primarily used to derive the derivative of G(x)?
Product Rule
Quotient Rule
Chain Rule
Power Rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of G(x) with respect to x expressed as?
h(g(f(x))) * f'(x)
g'(f(x)) * f'(x)
h'(g(f(x))) * g'(f(x)) * f'(x)
h'(x) * g(x) * f(x)
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value does f(5) simplify to?
5
-1
1
0
Tags
CCSS.8.EE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line at f(5)?
5
-1
0
1
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is G'(5) equal to 0?
Because g(x) is zero at x=5
Because g(f(x)) is constant at x=5
Because f(x) is increasing at x=5
Because h(x) is zero at x=5
Tags
CCSS.HSF-BF.A.1B
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