
Derivatives of Inverse Hyperbolic Functions

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

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse hyperbolic sine function of a variable U?
U Prime over the square root of U squared plus 1
Negative U Prime over the absolute value of U
U Prime over the square root of U squared minus 1
U Prime over 1 minus U squared
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula represents the derivative of the inverse hyperbolic cosine function?
Negative U Prime over the absolute value of U
U Prime over 1 minus U squared
U Prime over the square root of U squared minus 1
U Prime over the square root of U squared plus 1
Tags
CCSS.HSF-BF.B.4A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the derivative of the inverse hyperbolic tangent function expressed?
U Prime over the square root of U squared plus 1
U Prime over the square root of U squared minus 1
U Prime over 1 minus U squared
Negative U Prime over the absolute value of U
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse hyperbolic sine function of 4X?
4 over the square root of 16x squared plus 1
4 over the square root of 4x squared minus 1
4 over 1 minus 16x squared
Negative 4 over the absolute value of 4x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of finding the derivative of the inverse hyperbolic cosine of X cubed, what is U Prime?
3x squared
X cubed
3x
X squared
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse hyperbolic tangent function of the square root of x?
1 over 2 square root x times X
1 over 2 square root x times 1 minus X
1 over 2 square root x minus X
1 over 2 square root x plus X
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the chain rule for the inverse hyperbolic cosecant function raised to the third power, what is the first step?
Differentiate the inside part
Multiply by the derivative of the inside part
Differentiate as if it's X cubed
Use the product rule
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