Derivative Rules Flashcards
1
Q
Definition of a derivative
A
limit as h approaches 0
f(x+ h)-f(x)
h
limit as x approaches c
or f(x)-f(c)
x-c
2
Q
Quotient Rule
A
High d Low/ Low^2
3
Q
d/dx
[ln u] =
A
1/u u’
4
Q
d/dx
[eu]
A
eu u’
5
Q
d/dx sinu
A
cosu u’
6
Q
d/dx cosu
A
-sinu u’
7
Q
d/dx tanu
A
sec^2u u’
8
Q
d/dx cscu
A
-cscu cotu u’
9
Q
d/dx secu
A
secu tanu u’
10
Q
d/dx cotu
A
-csc2 u u’
11
Q
d/dx arcsin x
A
u’
square root of 1 - u2
12
Q
arccos x
A
-u’
square root of 1 - u2
13
Q
arctan u
A
u’
1+u2
14
Q
arccot
A
-u’
1+u2
15
Q
arcsec u
A
u’
|u| square root of u2-1
