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Chain rule

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Calculus Derivative
Updated 2025-07-16  3 By others on same topic  0 Discussions Create my own version
Here's an example of the chain rule. Suppose we want to calculate:
dxd​e2x
(1)
So we have:
f(x)=exg(x)=2x
(2)
and so:
f′(x)=exg′(x)=2
(3)
Therefore the final result is:
f′(g(x))g′(x)=e2x2=2e2x
(4)
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Multivariable chain rule

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Chain rule

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