List questions from chain-rule

Published on 15 Apr 2026 - 17:26

36

Views

If $ u $ satisfy $ u_{t} = ku_{xx} $ then so does $ u_{\alpha, \beta, \gamma} $, provided $ \beta = \alpha^{2} $

Published on 17 Apr 2026 - 7:20

23

Views

Find $D_1 f(u,v,w), D_2 f(u,v,w), D_3 f(u,v,w)$

Published on 17 Apr 2026 - 12:25

2k

Views

Find the derivative of an integral function

Published on 12 Apr 2026 - 13:26

68

Views

Cant understand how chain rule works

Published on 17 Apr 2026 - 10:10

377

Views

If $\phi \in C^1(\mathbb R)$ and $u \in H^1(a,b)$, then $\phi \circ u \in H^1(a,b)$

Published on 25 Mar 2026 - 6:04

87

Views

When does $\frac{dy}{dx}= \frac{dy}{du} \frac{du}{dx}$?

Published on 15 Apr 2026 - 7:02

52

Views

Slight misunderstanding/confusion over this calculation involving the multivariate chain rule

Published on 12 Apr 2026 - 9:24

158

Views

Chain rule for $\sigma$-finite measure.

Published on 12 Apr 2026 - 19:31

137

Views

Chain rule example

Published on 30 Apr 2026 - 10:49

50

Views

Using chain rule indirectly in multi-parametric system

Published on 10 May 2026 - 19:49

1.7k

Views

Derivative of function with respect to multivariable function

Published on 12 Apr 2026 - 18:24

550

Views

Multivariable chain rule and Jacobian

Published on 10 May 2026 - 19:02

719

Views

A puzzling "failure" of the Chain Rule

Published on 13 Apr 2026 - 3:57

50

Views

Chain rule verification

Published on 14 Apr 2026 - 23:54

List Question

Generalization of Chain Rule for n Composite Functions

If $ u $ satisfy $ u_{t} = ku_{xx} $ then so does $ u_{\alpha, \beta, \gamma} $, provided $ \beta = \alpha^{2} $

Find $D_1 f(u,v,w), D_2 f(u,v,w), D_3 f(u,v,w)$

Find the derivative of an integral function

Cant understand how chain rule works

If $\phi \in C^1(\mathbb R)$ and $u \in H^1(a,b)$, then $\phi \circ u \in H^1(a,b)$

When does $\frac{dy}{dx}= \frac{dy}{du} \frac{du}{dx}$?

Slight misunderstanding/confusion over this calculation involving the multivariate chain rule

Chain rule for $\sigma$-finite measure.

Chain rule example

Using chain rule indirectly in multi-parametric system

Derivative of function with respect to multivariable function

Multivariable chain rule and Jacobian

A puzzling "failure" of the Chain Rule

Chain rule verification

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