
Derivatives of Hyperbolic Functions

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

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the derivative of a composite function involving hyperbolic functions?
Identify the outer function
Use the quotient rule
Apply the product rule
Identify the inner function
Tags
CCSS.HSF.BF.B.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function f(x) = hyperbolic tangent(2x), what is the inner function?
hyperbolic tangent
2x
hyperbolic secant
x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the outer function in f(x) = hyperbolic tangent(2x)?
hyperbolic secant squared
hyperbolic tangent
hyperbolic sine
hyperbolic cosine
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the chain rule to f(x) = hyperbolic tangent(2x)?
hyperbolic sine(2x)
2 hyperbolic secant squared(2x)
2 hyperbolic tangent(2x)
hyperbolic cosine(2x)
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of f(x) = hyperbolic cosine^5(x) primarily concerned with?
Product rule
Quotient rule
General power rule
Sum rule
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function f(x) = hyperbolic cosine^5(x), what is the outer function?
hyperbolic sine
power function
x^5
hyperbolic cosine
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inner function in f(x) = hyperbolic cosine^5(x)?
hyperbolic sine
hyperbolic tangent
hyperbolic secant
hyperbolic cosine
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