derivative rules Flashcards
1
Q
C
A
0
2
Q
X
A
1
3
Q
aX
A
a
4
Q
X^a
A
aX^(a-1)
5
Q
e^x
A
e^x
6
Q
a^x
A
ln(a)*a^x
7
Q
ln(x)
A
1/x
8
Q
log_a(x)
A
1/(xln(a))
9
Q
sinx
A
cosx
10
Q
cosx
A
-sinx
11
Q
tanx
A
sec^2x
12
Q
sin^-1x
A
1/(sqrt(1-x^2))
13
Q
cos^-1x
A
-1/(sqrt(1-x^2))
14
Q
tan-1x
A
1/(1+x^2)
15
Q
f*g
A
fg’+f’g
16
Q
f/g
A
(f’g-g’f)/g^2
17
Q
1/f
A
-f’/f^2
18
Q
f(g(x))
A
f’(g(x))*g’(x)
19
Q
cotx
A
-csc^2x
20
Q
secx
A
secx*tanx
21
Q
cscx
A
-cscx*cotx
22
Q
csc^-1x
A
-1/(|x|sqrt(x^2-1))
23
Q
sec^-1x
A
1/(|x|sqrt(x^2-1))
24
Q
cot^-1x
A
-1/(1+x^2)
