Midterm Flashcards
(24 cards)
1
Q
e^1
A
e
2
Q
e^0
A
1
3
Q
e^x+y
A
e^x + e^y
4
Q
(e^x)^y
A
e^xy
5
Q
e^-1
A
1/e^x
6
Q
e^x-y
A
e^x / e^y
7
Q
ln(1)
A
0
8
Q
ln(xy)
A
ln(x) + ln(y)
9
Q
ln(x^y)
A
yln(x)
10
Q
ln(1/x)
A
-ln(x)
11
Q
ln(y/x)
A
ln(y) - ln(x)
12
Q
y = ln(x) inverse…
A
e^y = x
13
Q
e^kx
A
ke^kx
14
Q
e^x
A
e^x
15
Q
lnx
A
1/x
16
Q
sinx
A
cosx
17
Q
cosx
A
-sinx
18
Q
tanx
A
sec^2(x)
19
Q
cotx
A
-csc^2(x)
20
Q
Product rule:
A
f x g* + g x f*
21
Q
Quotient rule:
A
g x f* - f x g* / g^2
22
Q
Sum and difference rule:
A
f* +/- g*
23
Q
Constant multiple rule:
A
c (*f)
24
Q
Chain rule:
A
f(g(x)) x g(x)