Derivatives Flashcards
(19 cards)
1
Q
kx
A
k
2
Q
f(x^n)
A
nf(x^n-1)*f’
3
Q
f(g(x))
A
f’(g(x))*g’(x)
4
Q
a^x
A
a^xlnax’
5
Q
e^x
A
e^x*x’
6
Q
log.a(f(x))
A
f’(x)/ f(x)*ln.a
7
Q
ln f(x)
A
f’(x)/f(x)
8
Q
sin x
A
cos x
9
Q
cos x
A
-sin x
10
Q
tan x
A
sec^2 x
11
Q
cot x
A
-csc^2 x
12
Q
sec x
A
sec x * tan x
13
Q
csc x
A
-csc x* cot x
14
Q
arcsin x
A
x’ / √(1-x^2)
15
Q
arccos x
A
-x’/√(1-x^2)
16
Q
arctan x
A
x’/1+x^2
17
Q
arccot x
A
-x’/1+x^2
18
Q
arcsec x
A
x’/ x√(x^2-1)
19
Q
arccsc x
A
-x’/ x√(x^2-1)
