Hyperbolic Functions Flashcards
0
Q
Derivative of sinhx
A
coshx
1
Q
Hyperbolic identities
A
- sinh(-x) = - sinhx
- cosh2(x) - sinh2x = 1
- sinh(x+y) = sinhx.coshy + coshx.sinhy
- cosh(x+y) = coshx.coshy + sinhx.sinhy
- cosh(-x) = coshx
- 1 - tanh2x = sech2x
2
Q
Derivative of coshx
A
sinhx (NOT -sinhx)
3
Q
Derivative of tanhx
A
sech2x
4
Q
Derivative of cschx
A
-cschx.cothx
5
Q
Derivative of sechx
A
-sechx.tanhx
6
Q
Derivative of cothx
A
-csch2x
7
Q
Definition of sinhx
A
8
Q
Define coshx
A
9
Q
Define tanhx
A
10
Q
Define cosechx
A
11
Q
Define sechx
A
12
Q
Define cothx
A
13
Q
Derivative of sinh-1x
A
14
Q
Derivative of cosh-1x
A
15
Q
Derivative of tanh-1x
A
16
Q
Derivative of csch-1x
A
17
Q
Derivative of sech-1x
A
18
Q
Derivative of coth-1x
A
19
Q
Define sinh-1x
A
20
Q
Define cosh-1x
A
21
Q
Define tanh-1x
A
22
Q
A
