Derivatives of hyberbolic Trig functions Flashcards
1
Q
f’(x) of sinhx
A
coshx
2
Q
f’(x) of coshx
A
sinhx
3
Q
f’(x) of tanhx
A
sech^2 x
4
Q
f’(x) of cothx
A
-csch^2x
5
Q
f’(x) of sechx
A
-sechxtanhx
6
Q
f’(x) of cschx
A
-cschxcothx
7
Q
f’(x) of sinh^-1x
A
1 / square root ( x^2 +1)
8
Q
f’(x) of tanh^-1 x
A
1 / (1 -x^2)
9
Q
f’(x) of cosh^-1 x
A
1 / square root (x^2 -1)
10
Q
f’(x) of cot^-1 (x)
A
1 / (1 - x^2)
11
Q
f’(x) of sech-1 x
A
-1 / x square root (1 -x^2)
12
Q
f’(x) of csch-1 x
A
- 1/ absolute value x (square root (x^2 +1)
13
Q
What are the bounds for the f’(x) of tanh-1 x?
A
x <1
14
Q
What are the bounds for the f’(x) of cosh^1 x
A
x > 1
15
Q
What are the bounds for the f’(x) of coth^-1 x
A
absolute value (x) > 1
16
Q
What are the bounds for the f’(x) of sech ^-1 x?
A
0 < x< 1
17
Q
What are the bounds for the f’(x) of csch^-1 ?
A
x cannot equal 0
