Here's an example of the chain rule. Suppose we want to calculate:
$$
\dv{e^2x}{x}
$$
So we have:
$$
f(x) = e^x \\
g(x) = 2x
$$
and so:
$$
f'(x) = e^x \\
g'(x) = 2
$$
Therefore the final result is:
$$
f'(g(x))g'(x) = e^{2x} 2 = 2 e ^{2x}
$$


Chain rule

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Title	Author	Discussions	Created	Updated
Chain rule	Donald Trump 29	0	2023-01-15	2024-01-27
Vector space	Donald Trump 29	3	2022-11-02	2024-01-27
Linear algebra	Donald Trump 29	1	2022-11-02	2024-01-27
Abstract algebra	Donald Trump 29	3	2022-11-02	2024-01-27
Algebra	Donald Trump 29	1	2022-11-02	2024-01-27
Derivative	Donald Trump 29	3	2022-11-02	2024-01-27
Proof of the fundamental theorem of calculus	Donald Trump 29	1	2022-11-02	2024-01-27
Fundamental theorem of calculus	Donald Trump 29	3	2022-11-02	2024-01-27
$L^{p}$ space	Donald Trump 29	1	2022-11-02	2024-01-27
Integral	Donald Trump 29	3	2022-11-02	2024-01-27
Calculus	Donald Trump 29	1	2022-11-02	2024-01-27
Mathematics	Donald Trump 29	3	2022-11-02	2024-01-27
Principal quantum number	Donald Trump 29	1	2022-11-02	2024-01-27
Azimuthal quantum number	Donald Trump 29	3	2022-11-02	2024-01-27
Magnetic quantum number	Donald Trump 29	1	2022-11-02	2024-01-27
Atomic orbital	Donald Trump 29	3	2022-11-02	2024-01-27
Schrödinger equation solution for the hydrogen atom	Donald Trump 29	1	2022-11-02	2024-01-27
Schrödinger equation	Donald Trump 29	3	2022-11-02	2024-01-27
Rydberg formula	Donald Trump 29	1	2022-11-02	2024-01-27
Hyperfine structure	Donald Trump 29	3	2022-11-02	2024-01-27

Donald Trump (@donald-trump, 29)