
Understanding Differentials
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of determining differential Y?
To determine the maximum value of a function
To solve complex equations
To approximate the change in Y of a function
To find the exact value of a function
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for differential Y in terms of derivatives?
DY = F(X) + DX
DY = F PRIME OF X x DX
DY = F PRIME OF X + DX
DY = F(X) x DX
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the derivative of the function given?
15X SQUARED - 14X + 4
10X SQUARED - 14X + 4
15X SQUARED - 10X + 4
15X CUBED - 14X + 4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied in the second example to find differential Y?
Chain Rule
Power Rule
Quotient Rule
Product Rule
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the inner function U?
2X + 5
3X + 5
2X + 3
X + 5
Tags
CCSS.HSN.RN.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exponent of U in the second example?
3/2
2/3
1/3
1/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the third example, what is the outer function's exponent?
2/5
4/5
3/5
1/5
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