Ws 10.6 Hyperbolic Functions Worksheet - Pennsylvania State University
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1Calculus Maximus
WS 10.6 Hyperbolic Functions
Name_________________________________________ Date________________________ Period______
Worksheet 10.6—Hyperbolic Functions
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Free Response & Short Answer
1. Find the derivatives with respect to x of each of the following functions
f x
sech2
x
(a)
(b)
10
y
coth10
x
2
x
3
(c)
y e
tanh 7
x
(d)
g x
ln csch
x
Multiple Choice
2. Evaluate the following integrals.
5
xdx
(a)
sinh 3
x
4
dx
(b)
cosh
x
sinh
1
(A)
3cosh 3
x
4
C
6
(A)
cosh
x C
6
(B)
3cosh 3
x
4
C
6
(B)
6cosh x C
1
(C)
cosh 3
x
4
C
4
(C)
5cosh x C
3
1
1
4
(D)
cosh
x C
(D)
cosh 3
x
4
C
4
3
1
1
5
(E)
cosh
x C
(E)
sinh 3
x
4
C
5
3
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