Derivatives Flashcards
1
Q
d/dx [c]=?
A
0
2
Q
d/dx [xn]=?
A
nxn-1
3
Q
d/dx [x]=?
A
1
4
Q
d/dx [Constant * f(x)]=?
A
Constant * d/dx [f(x)]
5
Q
d/dx[f(x) +or- g(x)]=
A
d/dx[f(x)] +or- d/dx[g(x)]
6
Q
Product Rule
A
7
Q
Quotient rule
A
8
Q
Chain rule
A
Cover inside, inside =u
outside =y
put u back in
9
Q
Generalized power rule
A
10
Q
d/dx [sin(x)]=?
A
cos(x)
11
Q
d/dx[cos(x)]=?
A
-sin(x)
12
Q
d/dx [tan(x)]=?
A
sec2(x)
13
Q
d/dx [sec(x)]=?
A
sec(x)tan(x)
14
Q
d/dx [csc(x)]=?
A
-csc(x)cot(x)
15
Q
d/dx [cot(x)]=?
A
-csc2(x)
16
Q
d/dx ln(x)=?
A
1/x
17
Q
d/dx ex=?
A
ex
18
Q
(logbx)’=?
A
1/(x ln b)
19
Q
(ln g(x))’=
A
g’(x)/g(x)
20
Q
linear approximation
A
L(x)=f(a)+f’(a)(x-a)
21
Q
(sin-1x)’=
A
22
Q
(tan-1x)’=
A
23
Q
(sec-1x)’=
A
24
Q
(cos-1x)’=
A
25
Q
(cot-1x)’=
A
26
Q
(csc-1x)’
A
