Studied by 6 people(d/dx) sinx
cosx
d/dx(cosx)
-sinx
d/dx(secx)
sec(x)tan(x).
d/dx(cscx)
-csc(x)cot(x)
d/dx(tanx)
sec2(x).
d/dx(cotx)
-csc2(x)
d/dx(arcsinx)
1 / √(1 - x2).
d/dx(arccos)
-1 / √(1 - x2)
d/dx(arcsecx)
1/(|x| * √(x2 - 1))
d/dx(arccscx)
-1 / (|x| * √(x^2 - 1)).
d/dx(arctanx)
1 / (1 + x^2)
d/dx(arccotx)
-1 / (1 + x^2)
∫(1/√(a2-u2))du
arcsin(u/a)+c
∫(-1/√(a2-u2))du
arccos(u/a) + c
∫(du/u√(u2-a2))
(1/a)arcsec(|u|/a)+c
∫(-du/u√(u2-a2))
(1/a)arccsc(|u|/a)+c
∫(du/(a2+u2))
(1/a)arctan(u/a)+c
∫(-du/(a2+u2))
(1/a)arccot(u/a)+c
What is the range of arcsin?
[-π/2, π/2]
What is the domain of arcsin?
[-1, 1]
What is the domain of arccos?
[-1, 1]
What is the range of arccos?
[0, π]
What is the domain of arctan?
x∈ℝ
What is the range of arctan?
(-π/2, π/2)
Note
Flashcard