Differentiation Rules Flashcards
1
Q
d/dx [sin u]
A
(cos u)u’
2
Q
d/dx [cos u]
A
-(sin u)u’
3
Q
d/dx [tan u]
A
(sec² u)u’
4
Q
d/dx [cot u]
A
-(sec² u)u’
5
Q
d/dx [sec u]
A
(sec u tan u)u’
6
Q
d/dx [csc u]
A
-(csc u cot u)u’
7
Q
d/dx [arcsin u]
A
u’/√(1-u²)
8
Q
d/dx [arccos u]
A
-u’/√(1-u²)
9
Q
d/dx [arctan u]
A
u’/(1+u²)
10
Q
d/dx [arccot u]
A
-u’/(1+u²)
11
Q
d/dx [arcsec u]
A
u’/( |u| √(u²-1) )
12
Q
d/dx [arccsc u]
A
-u’/( |u| √(u²-1) )
13
Q
d/dx [logₐu]
A
u’/( (ln a) u )
14
Q
d/dx [ln u]
A
u’/u
15
Q
d/dx [aᵘ]
A
(ln a)aᵘu’
