My gf's derivative rules Flashcards
1
Q
(f + g)
A
f ‘ + g ‘
2
Q
(fg) ‘
A
(f ‘ * g) + (g ‘ * f)
3
Q
(f / g) ‘
A
[(f ‘ * g) - (g ‘ * f)] / g^2
4
Q
f(g(x)) ‘
A
f ‘(g(x)) * g ‘(x)
5
Q
00 / #
A
00
6
Q
/ 00
A
0
7
Q
e^00
A
00
8
Q
00^x
A
00
9
Q
(x) ‘
A
1
10
Q
sin(0)
A
0
11
Q
cos(o)
A
1
12
Q
ln(1)
A
0
13
Q
e^0
A
1
14
Q
x^0
A
1
15
Q
(sinx) ‘
A
cosx
16
Q
(cosx) ‘
A
- sinx
17
Q
(constant) ‘
A
0
18
Q
(ax) ‘
A
a
19
Q
(x^a) ‘
A
ax^a-1
20
Q
(e^u) ‘
A
e^u * u ‘
21
Q
(a^u) ‘
A
a^u * u ‘ * ln(a)
22
Q
(ln(x)) ‘
A
1 / x
23
Q
(ln(u)) ‘
A
u ‘ / u
24
Q
(log(au)) ‘
A
u ‘ / u*ln(a)
25
(ax^4)
u * ax^u-1
