B: Derivatives of Inverse Trigonometric Functions Flashcards
These apply to arcsin, arccos, etc. (8 cards)
1
Q
A
2
Q
A
3
Q
What is the derivative of arcsin(x)?
A
1 / √(1 - x²)
4
Q
What is the derivative of arccos(x)?
A
-1 / √(1 - x²)
5
Q
What is the derivative of arctan(x)?
A
1 / (1 + x²)
6
Q
What is the derivative of arccot(x)?
A
-1 / (1 + x²)
7
Q
What is the derivative of arcsec(x)?
A
1 / (|x|·√(x² - 1))
8
Q
What is the derivative of arccsc(x)?
A
-1 / (|x|·√(x² - 1))
