calculus: derivative Flashcards
1
Q
d/dx [cu]
A
cu’
2
Q
d/dx [uv]
A
v’u + u’v
3
Q
d/dx [c]
A
0
4
Q
d/dx [x]
A
1
5
Q
d/dx [u+v]
A
u’ + v’
6
Q
d/dx [u/v]
A
(vu’ + uv’)/v^2
7
Q
d/dx [u^n]
A
nu^(n-1) * u’
8
Q
d/dx [ |u| ]
A
u/|u| * u’
9
Q
d/dx [ln(u)]
A
u’/u
10
Q
d/dx [e^u]
A
e^u * u’
11
Q
d/dx [sin(u)]
A
cosu * u’
12
Q
d/dx [cos(u)]
A
-sinu*u’
13
Q
d/dx [tan(u)]
A
sec^2u *u’
14
Q
d/dx [csc(u)]
A
-cscucotu *u’
15
Q
d/dx [sec(u)]
A
secutanu * u’
16
Q
d/dx [cot(u)]
A
-csc^2u * u’
17
Q
d/dx [arcsin(u)]
A
u’/ square root(1 - u^2)
18
Q
d/dx [(arccosu)]
A
-u’/ square root(1 - u^2)
19
Q
d/dx [arctan(u)]
A
u’/(1 + u^2)
20
Q
d/dx [arccsc(u)]
A
-u’/(|u|*square root(u^2 - 1))
21
Q
d/dx [arcsec(u)]
A
u’/(|u|*square root(u^2 - 1))
22
Q
d/dx [arccot(u)]
A
-u’/(1 + u^2)
