Derivatives Flashcards
1
Q
dx(x)
A
1
2
Q
dx(sinx)
A
cosx
3
Q
dx(cosx)
A
-sinx
4
Q
dx(tanx)
A
sec2x
5
Q
dx(cot)
A
-csc2x
6
Q
dx(cscx)
A
-cscxcotx
7
Q
dx(sinhx)
A
coshx
8
Q
dx(coshx)
A
sinhx
9
Q
dx(tanhx)
A
sech2x
10
Q
dx(cothx)
A
-csch2x
11
Q
dx(secx)
A
secxtanx
12
Q
dx(sechx)
A
-sechxtanhx
13
Q
dx(cschx)
A
-cschxcothx
14
Q
Dx (sin−1 x)
A
=1/√1−x^2
15
Q
Dx(cos−1 x)
A
=-(1/√1−x^2)
16
Q
Dx(tan-1 x)
A
1/1+x^2
17
Q
Dx(cot−1 x)
A
-(1/1+x^2)
18
Q
Dx(sec−1 x)
A
=1/x√x^2-1
19
Q
A
=-(1/x√x^2-1)
20
Q
dx(lnx)
A
1/x
21
Q
dx(loga x)
A
1/xlna
22
Q
dx(ln|x|)
A
1/x
23
Q
dx(a^x) a is a number
A
a^x ln a
24
Q
dx(e^x)
A
e^x
25
