
Derivative of Inverse Hyperbolic Cosine Function

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

Amelia Wright
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main function we are trying to differentiate in this tutorial?
f(x) = 2 inverse hyperbolic sine of 5x
f(x) = 2 inverse hyperbolic cosine of 5x
f(x) = 2 inverse hyperbolic tangent of 5x
f(x) = 2 inverse hyperbolic secant of 5x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to recognize that f(x) is a composite function?
To apply the product rule
To apply the quotient rule
To apply the chain rule
To apply the power rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is emphasized in the explanation of the derivative formula?
Chain rule
Quotient rule
Power rule
Product rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function in the composite function f(x) = 2 inverse hyperbolic cosine of 5x?
x/5
5x
2x
x^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inner function 5x with respect to x?
x
5
1
0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the factor U' in the derivative formula?
It represents the derivative of the inner function
It represents the original function
It represents the derivative of the outer function
It represents the integral of the function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse hyperbolic cosine function with respect to its argument?
1 / sqrt(u^2 - 1)
1 / sqrt(1 - u^2)
1 / (1 + u^2)
1 / (u^2 + 1)
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