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d
dx
(
e
−
x
)
=
−
e
−
x
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d
dx
(
e
−
x
)
=
−
e
−
x
steps
d
dx
(
e
−
x
)
show steps
Apply
the
chain
rule
:
e
−
x
d
dx
(
−
x
)
=
e
−
x
d
dx
(
−
x
)
show steps
d
dx
(
−
x
)
=
−
1
=
e
−
x
(
−
1
)
Simplify
=
−
e
−
x
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