Derivative Formulas Flashcards
1
Q
d/dx [uv]
A
u(v’) + v(u’)
2
Q
d/dx [c]
A
0
3
Q
d/dx [x]
A
1
4
Q
d/dx [u+v]
A
u’ + v’
5
Q
d/dx [u/v]
A
[u’(v)-v’(u)]/ v^2
6
Q
d/dx [u^n]
A
n(u^n-1)•u’
7
Q
d/dx [|u|]
A
u/ |u| • u’
8
Q
d/dx [lnu]
A
u’/u
9
Q
d/dx [e^u]
A
e^u •u’
10
Q
d/dx [Sin(u)]
A
Cos(u) • u’
11
Q
d/dx [Cos(u)]
A
-Sin(u) • u’
12
Q
d/dx [Tan(u)]
A
-Sec^2(u) • u’
13
Q
d/dx [Csc(u)]
A
-Csc(u)Cot(u) • u’
14
Q
d/dx [Sec(u)]
A
Sec(u)Tan(u) • u’
15
Q
d/dx [Cot(u)]
A
-Csc^2(u) • u’
16
Q
d/dx [arcsin(u)]
A
u’/(1-u^2)^1/2
17
Q
d/dx [arccos(u)]
A
-u’/ (1+u^2)^1/2
18
Q
d/dx [arctan(u)]
A
u’/ 1+u^2
19
Q
d/dx [arccsc(u)]
A
-u’/ |u|(u^2-1)^1/2
20
Q
d/dx [arcsec(u)]
A
u’/ |u|(u^2-1)^1/2
21
Q
d/dx [arccot(u)]
A
-u’/ 1+u^2
22
Q
d/dx [cu]
A
cu’
