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by
Ciro Santilli
(
@cirosantilli,
32
)
Chain rule
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
Chain rule
Ancestors
Derivative
Calculus
Area of mathematics
Mathematics
Index
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