102 Part I: The Questions
785. y e
x
=
( )
sinh 5
786. y
x
=
( )
sech
4 10
787. y
t
=
+
(
)
tanh 1
4
788. y x
x
=
( )
3 sinh ln
789. y
x
=
( )
ln tanh 3
Finding Antiderivatives of
Hyperbolic Functions
790–799 Find the antiderivative.
790. sinh 1 3
−
(
)
∫
x dx
791. cosh
sinh
2
3
3
x
x
dx
−
(
)
−
(
)
∫
777. coth (ln 6)
778. tanh 1
779. sech 1
2
Finding Derivatives of
Hyperbolic Functions
780–789 Find the derivative of the given function.
780. y = cosh
2
x
781. y
x
=
( )
sinh
2
782. y
x
=
( )
1
6
2
csch
783. y
e
x
=
( )
tanh
784. y = tanh(sinh x)
785. y e
x
=
( )
sinh 5
786. y
x
=
( )
sech
4 10
787. y
t
=
+
(
)
tanh 1
4
788. y x
x
=
( )
3 sinh ln
789. y
x
=
( )
ln tanh 3
Finding Antiderivatives of
Hyperbolic Functions
790–799 Find the antiderivative.
790. sinh 1 3
−
(
)
∫
x dx
791. cosh
sinh
2
3
3
x
x
dx
−
(
)
−
(
)
∫
777. coth (ln 6)
778. tanh 1
779. sech 1
2
Finding Derivatives of
Hyperbolic Functions
780–789 Find the derivative of the given function.
780. y = cosh
2
x
781. y
x
=
( )
sinh
2
782. y
x
=
( )
1
6
2
csch
783. y
e
x
=
( )
tanh
784. y = tanh(sinh x)
