Inverse Trig Derivatives
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
14 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is the derivative of the inverse sine function, \( \sin^{-1}(x) \)?
Back
The derivative is \( \frac{1}{\sqrt{1-x^2}} \) for \( -1 < x < 1 \).
2.
FLASHCARD QUESTION
Front
What is the derivative of the inverse cosine function, \( \cos^{-1}(x) \)?
Back
The derivative is \( -\frac{1}{\sqrt{1-x^2}} \) for \( -1 < x < 1 \).
3.
FLASHCARD QUESTION
Front
What is the derivative of the inverse tangent function, \( \tan^{-1}(x) \)?
Back
The derivative is \( \frac{1}{1+x^2} \) for all \( x \).
Tags
CCSS.HSF-BF.B.4A
4.
FLASHCARD QUESTION
Front
What is the derivative of the inverse cotangent function, \( \cot^{-1}(x) \)?
Back
The derivative is \( -\frac{1}{1+x^2} \) for all \( x \).
5.
FLASHCARD QUESTION
Front
What is the derivative of the inverse secant function, \( \sec^{-1}(x) \)?
Back
The derivative is \( \frac{1}{|x|\sqrt{x^2-1}} \) for \( |x| > 1 \).
6.
FLASHCARD QUESTION
Front
What is the derivative of the inverse cosecant function, \( \csc^{-1}(x) \)?
Back
The derivative is \( -\frac{1}{|x|\sqrt{x^2-1}} \) for \( |x| > 1 \).
7.
FLASHCARD QUESTION
Front
How do you find the derivative of a composite function involving inverse trigonometric functions?
Back
Use the chain rule along with the derivatives of the inverse functions.
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Microsoft
or continue with
%20(1).png)
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?
