2.8 and 2.9 quiz (product and quotient rule) Flashcards
(19 cards)
1
Q
d/dx[sinx]=
A
cosx
2
Q
d/dx[e^x]=
A
e^x
3
Q
d/dx[cosx]=
A
-sinx
4
Q
d/dx[lnx]=
A
l/x
5
Q
d/dx[log(b)x]=
A
1/lnbx
6
Q
change of base formula
A
logbx=logx/logb=lnx/lnb
7
Q
product rule
A
y=f(x)g(x)
y’=f(x)g’(x)+g(x)*f’(x)
8
Q
use product rule whenever…
A
x*another x
9
Q
quotient rule
A
lodihi-hidilo/square of what’s below
h(x)=f(x)/g(x)
h’(x)=[g(x)*f’(x)-f(x)g’(x)]/(g(x))^2
not communative
make sure to distribute minus sign
10
Q
d/dx[tanx]=
A
sec^2x
11
Q
d/dx[secx]=
A
secxtanx
12
Q
d/dx[cotx]=
A
-csc^2x
13
Q
d/dx[cscx]=
A
-cscxcotx
14
Q
sec
A
1/cos
15
Q
csc
A
1/sin
16
Q
pythagorean trig identity
A
sin^2x+cos^2x=1
1+cot^2x=csc^2x
tan^2x+1=sec^2x
17
Q
d/dx[a^x]=
A
lna*a^x
18
Q
when finding derivative/slope/equation at certain point, remember to…
A
plug given x back in to find d/dx at THAT x
19
Q
instantaneous ROC=
A
derivative
