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partial derivative of sech^2(x-t)
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∂
∂
t
(
sech
2
(
x
−
t
)
)
=
2
sech
2
(
x
−
t
)
tanh
(
x
−
t
)
Show Steps
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∂
∂
t
(
sech
2
(
x
−
t
)
)
=
2
sech
2
(
x
−
t
)
tanh
(
x
−
t
)
steps
∂
∂
t
(
sech
2
(
x
−
t
)
)
Treat
x
as
a
constant
show steps
Apply
the
chain
rule
:
2
sech
(
x
−
t
)
∂
∂
t
(
sech
(
x
−
t
)
)
=
2
sech
(
x
−
t
)
∂
∂
t
(
sech
(
x
−
t
)
)
show steps
∂
∂
t
(
sech
(
x
−
t
)
)
=
sech
(
x
−
t
)
tanh
(
x
−
t
)
=
2
sech
(
x
−
t
)
sech
(
x
−
t
)
tanh
(
x
−
t
)
show steps
Simplify
2
sech
(
x
−
t
)
sech
(
x
−
t
)
tanh
(
x
−
t
)
:
2
sech
2
(
x
−
t
)
tanh
(
x
−
t
)
=
2
sech
2
(
x
−
t
)
tanh
(
x
−
t
)
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