Derivatives Flashcards
1
Q
d/dx (cu)
A
cu’
2
Q
d/dx (x +- v)
A
u’ +- v’
3
Q
d/dx (uv)
A
uv’ + vu’
4
Q
d/dx (u/v)
A
vu’ -uv’ / v^2
5
Q
d/dx (c)
A
0
6
Q
d/dx (u^n)
A
(nu^n-1)u’
7
Q
d/dx (x)
A
1
8
Q
d/dx (|u|)
A
(u/|u|) u’, u no equal 0
9
Q
d/dx (ln(u))
A
u’/u
10
Q
d/dx (e^u)
A
e^u(u’)
11
Q
d/dx (log_a(u))
A
u’/(lna)(u)
12
Q
d/dx (a^u)
A
(lna)(a^u)u’
13
Q
d/dx (sin(u))
A
(cos(u))u’
14
Q
d/dx (cos(u))
A
-(sin(u))u’
15
Q
d/dx (tan(u))
A
(sec^2(u))u’
16
Q
d/dx (cot (u))
A
-(csc^2(u))u’
17
Q
d/dx (sec(u))
A
(sec(u))(tan(u))u’
18
Q
d/dx (csc(u))
A
-(csc(u)cot(u))u’
19
Q
d/dx (arcsin(u))
A
u’ / root(1-u^2)
20
Q
d/dx (arccos(u))
A
-u’ / root(1-u^2)
21
Q
d/dx (arctan(u))
A
u’ / 1 + u^2
22
Q
d/dx (arccot(u))
A
-u’ / 1+u^2
23
Q
d/dx (arcsec(u))
A
u’ / |u|root(u^2 - 1)
24
Q
d/dx (arccsc(u))
A
-u’ / |u|root(u^2 - 1)
