derivatives and integrals of common functions Flashcards
1
Q
y’(a)
A
1
2
Q
y’(x^n)
A
n(x^n-1)
3
Q
y’(sinx)
A
cosx
4
Q
y’(cosx)
A
-sinx
5
Q
y’(tanx)
A
sec^2(x)
6
Q
y’(cscx)
A
-cscxcotx
7
Q
y’(secx)
A
secxtanx
8
Q
y’(cotx)
A
-csc^2(x)
9
Q
y’(arcsinx)
A
1/(1-x^2)^1/2
10
Q
y’(arccosx)
A
-1/(1-x^2)^1/2
11
Q
y’(arctanx)
A
1/1+x^2
12
Q
y’(e^x)
A
e^x
13
Q
y’(a^x)
A
(a^x)(lna)
14
Q
y’(lnx)
A
1/x
15
Q
y’(loga(x))
A
(1/ln(a))(1/x)
