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Chain rule
Ciro Santilli
(
@cirosantilli,
37
)
Mathematics
Area of mathematics
Calculus
Derivative
Updated
2025-07-16
1
Like
3 By others
on same topic
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Here'
s
an example of the
chain rule
. Suppose
we
want to calculate:
d
x
d
e
2
x
(1)
So
we
have:
f
(
x
)
=
e
x
g
(
x
)
=
2
x
(2)
and so:
f
′
(
x
)
=
e
x
g
′
(
x
)
=
2
(3)
Therefore the final result is:
f
′
(
g
(
x
))
g
′
(
x
)
=
e
2
x
2
=
2
e
2
x
(4)
Table of contents
Multivariable chain rule
Chain rule
Multivariable chain rule
0
0
0
Chain rule
Ancestors
(5)
Derivative
Calculus
Area of mathematics
Mathematics
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