
Calculating Derivatives and Rules

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

Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the components of the vector valued function r(t)?
a(t), b(t), c(t)
p(t), q(t), r(t)
x(t), y(t), z(t)
m(t), n(t), o(t)
Tags
CCSS.HSF-IF.C.7B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used to find the derivative of the x component?
Power Rule
Product Rule
Quotient Rule
Chain Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of x(t) when x(t) = 3 / (-5t - 7)?
-3 / (-5t - 7)^2
-15 / (-5t - 7)^2
15 / (-5t - 7)^2
3 / (-5t - 7)^2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the chain rule in the context of this video?
To find the derivative of a quotient
To find the derivative of a sum
To find the derivative of a product
To find the derivative of a composite function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to find the derivative of the y component?
Sum Rule
Product Rule
Quotient Rule
Chain Rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of y(t) when y(t) = -2t / (3t^2 + 4)?
(6t^2 + 8) / (3t^2 + 4)^2
(-6t^2 + 8) / (3t^2 + 4)^2
(6t^2 - 8) / (3t^2 + 4)^2
(-6t^2 - 8) / (3t^2 + 4)^2
Tags
CCSS.6.EE.A.2C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical operation is used to simplify the expression for y'(t)?
Subtraction
Division
Addition
Multiplication
Tags
CCSS.6.EE.A.2C
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