Differentiation Flashcards
1
Q
d/dx(cu)=?
A
cu’
2
Q
d/dx(u±v)=?
A
u’±v’
3
Q
d/dx(uv)=?
A
u’v+uv’
4
Q
d/dx(u/v)=?
A
(u’v−uv’)/v2
5
Q
d/dx(c)=?
A
0
6
Q
d/dx(un)=?
A
nun−1u’
7
Q
d/dx(x)=?
A
1
8
Q
d/dx(∣u∣)=?
A
(u/∣u∣)u’
9
Q
d/dx(lnu)=?
A
u’/u
10
Q
d/dx(eu)=?
A
euu’
11
Q
d/dx(logau)=?
A
u’/(lna)u
12
Q
d/dx(au)=?
A
(lna)auu’
13
Q
d/dx(sinu)=?
A
(cosu)u’
14
Q
d/dx(cosu)=?
A
−(sinu)u’
15
Q
d/dx(tanu)=?
A
(sec2u)u’
16
Q
d/dx(cotu)=?
A
−(csc2u)u’
17
Q
d/dx(secu)=?
A
(secutanu)u’
18
Q
d/dx(cscu)=?
A
−(cscucotu)u’
19
Q
d/dx(arcsinu)=?
A
u’/√(1−u²)
20
Q
d/dx(arccosu)=?
A
−u’/√(1−u²)
21
Q
d/dx(arctanu)=?
A
u’/(1+u²)
22
Q
d/dx(arccotu)=?
A
−u’/(1+u²)
23
Q
d/dx(arcsecu)=?
A
u²/(∣u∣√(u²−1))
24
Q
d/dx(arccscu)=?
A
−u²/(∣u∣√(u²−1))
25
Q
A
