Derivatives and Antiderivatives Flashcards
1
Q
what is the derivative of tanx?
A
sec^2x
2
Q
what is the derivative of arctanx?
A
1/(1+x2)
3
Q
what is the derivative of arcsinx?
A
1/√1-x²
4
Q
what is the derivative of arccosx?
A
-1/√(1 - x²)
5
Q
what is the derivative of secx?
A
secxtanx
6
Q
what is the derivative of cscx?
A
-cot(x)csc(x)
7
Q
what is the derivative of cotx?
A
-csc2x
8
Q
what is the derivative of sec^2x?
A
2 sec2x tanx
9
Q
what is the antiderivative of tanx?
A
−ln(cos(x))
10
Q
what is the antiderivative of arcsinx?
A
xarcsin(x) + 1/√(1-x^2) + C
11
Q
what is the antiderivative of arccosx?
A
xarccos(x) - (1-x^2)^1/2 + C
12
Q
what is the antiderivative of secx?
A
ln|sec x + tan x| + C
13
Q
what is the antiderivative of cscx?
A
ln|cos x + cot x| + C
14
Q
what is the antiderivative of cotx?
A
ln|sin x| + C
15
Q
what is the antiderivative of sec^2x?
A
tanx + C
