1
Q
d/dx [cu]
A
cu’
2
Q
d/dx [u/v]
A
(vu’-uv’)/(v^2)
3
Q
d/dx [x]
A
1
4
Q
d/dx [e^u]
A
e^u x u’
5
Q
d/dx [sin u]
A
(cos u) u’
6
Q
d/dx [cot u]
A
-(csc^2u)u’
7
Q
d/dx [arcsin u]
A
(u’)/(√1-u^2)
8
Q
d/dx [arccot u]
A
(-u’)/(1+u^2)
9
Q
d/dx [u+/-v]
A
u’ +/- v’
10
Q
d/dx[c]
A
0
12
Q
d/dx [log a u]
A
(u’)/((ln a)(u))
13
Q
d/dx [cos u]
A
-(sin u)u’
14
Q
d/dx[sec u]
A
(sec u tan u)u’
15
Q
d/dx[arccos u]
A
(-u’)/(√1-u^2)
16
Q
d/dx [arcsec u]
A
(u’)/(|u|√u^2-1)
17
Q
d/dx[uv]
A
uv’+vu’
18
Q
d/dx[u^n]
A
nu^(n-1)u’
19
Q
d/dx[ln u]
A
u’/u
20
Q
d/dx[tan u]
A
(sec^2u)u’
21
Q
d/dx [csc u]
A
-(csc u cot u)u’
22
Q
d/dx [arctan u]
A
(u’)/(1+u^2)
23
Q
d/x[arccsc u]
A
(-u’)/(|u|√u^2-1)
24
Q
d/dx[a^x]
A
(a^x)(ln a)
AP Calculus AB
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