Integral and Derivative Rules Flashcards
(32 cards)
1
Q
Derivative of the absolute value of u
A
(u/abs. value u)(u’)
2
Q
Derivative sinx
A
cosx
3
Q
Derivative cosx
A
-sinx
4
Q
Derivative tanx
A
sec^2x
5
Q
Derivative cscx
A
-cscxcotx
6
Q
Derivative secx
A
secxtanx
7
Q
Derivative cotx
A
-csc^2x
8
Q
Derivative lnx
A
x’/x
9
Q
Derivative log(little x)u
A
(u’/u) (1/lnx)
10
Q
Derivative e^x
A
e^x (x’)
11
Q
Derivative a^x
A
a^x (x’) (lna)
12
Q
derivative ln absolute value x
A
x’/x
13
Q
Derivative of inverse of f(x)
A
1/f’(f^-1(x))
14
Q
Derivative arcsinu
A
u’/(1-u^2)^.5
15
Q
Derivative arctanu
A
u’ / (1+u^2)
16
Q
Derivative arcsecu
A
u’ / IuI(u^2-1)^.5
17
Q
Integral 1/x
A
Ln IxI + C
18
Q
Integral e^x
A
e^x + C
19
Q
Integral a^x
A
(a^x / lna) + C
20
Q
Integral sinx
A
-cosx+c
21
Q
Integral cosx
A
sinx + C
22
Q
Integral tanx
A
-Ln IcosxI + C
23
Q
Integral cotx
A
Ln IsinxI +C
24
Q
Integral cscx
A
-Ln Icscx + cotxI + C
25
Integral secx
Ln Isecx + tanxI + C
26
Integral sec^2x
tanx + C
27
Integral csc^2x
-cotx + C
28
Integral secxtanx
secx + C
29
Integral cscxcotx
-cscx + C
30
Integral du/root a^2-u^2
arcsin u/a + C
31
Integral du/ u root u^2-a^2
1/a arcsec IuI/a + C
32
Integral du/ a^2+u^2
1/a arctan u/a + C
