big harry hands Flashcards
1
Q
xn
A
nxn−1
2
Q
k
A
0
3
Q
ex
A
ex
4
Q
fx +- gx
A
f’x +- g’x
5
Q
k⋅f(x)
A
k⋅f′(x)
6
Q
f(g(x))
A
f′(g(x))g′(x)
7
Q
u⋅v
A
u′v+uv′
8
Q
u/v
A
u′v−uv′/v2
9
Q
sinx
A
cosx
10
Q
cosx
A
-sinx
11
Q
tanx
A
sec2x
12
Q
cotx
A
-csc2x
13
Q
secx
A
secxtanx
14
Q
cscx
A
-cscxcotx
15
Q
lnx
A
1/x, x>0
16
Q
-sin^-1x
A
1/√1-x2
17
Q
-cos^-1x
A
-1/√1-x2
18
Q
-tan^-1x
A
1/√1+x2
19
Q
√x
A
1/2√x
20
Q
1/x
A
-1/x2
21
Q
lna + lnb
A
lnab
22
Q
lnab
A
ln a + ln b
23
Q
ln a - lnb
A
ln a/b
24
Q
ln a/b
A
ln a - lnb
25
Q
ln a^b
A
b (lna)
26
Q
ln 1
A
0
27
Q
ln 1/b
A
-lnb
28
Q
log base b x
A
lnx/lnb
29
Q
if f a g are inverse and in implicit differentations
A
f (g(x) = x
f’(g(x)) g’(x) = 1
g’(f(x)) f’(x) = 1
