Derivative Memory Test Flashcards
1
Q
g(x)=sinx
A
(Cos u) u’
2
Q
g(x)=cosx
A
(-sin u)u’
3
Q
g(x)=tanx
A
(Sec^2 u)u’
4
Q
g(x)=cotx
A
(-Csc^2 u)u’
5
Q
g(x)=secx
A
(sec u tan u)u’
6
Q
g(x)=cscx
A
(-csc u cot u)u’
7
Q
h(x)=sin^-1 x
A
(1/sqrt(1-u^2)) u’
8
Q
h(x)=cos^-1x
A
-(1/sqrt(1-u^2)) u’
9
Q
h(x)=tan^-1x
A
(1/(1+u^2))u’
10
Q
h(x)=cot^-1x
A
-(1/(1+u^2))u’
11
Q
h(x)=sec^-1x
A
(1/(u sqrt(u^2-1)))u’
12
Q
h(x)=csc^-1x
A
-(1/(u sqrt(u^2-1)))u’
13
Q
f(x)= e^x
A
(e^u)u’
14
Q
f(x)=a^x
A
a^u (ln a)u’
15
Q
f(x)=lnx
A
(1/u)u’