Question

why index notation of summation changes during derivative in chain rule?

score 709 · Answer 1 · 2026-03-25 12:15:25

709

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why index notation of summation changes during derivative in chain rule?

Published on 25 Mar 2026 - 12:15

score 306 · Answer 2 · 2026-03-25 12:20:52

306

Views

How to calculate the partial derivative of function within another function?

Published on 25 Mar 2026 - 12:20

score 244 · Answer 3 · 2026-03-25 01:16:57

244

Views

Extrema when Hessian Matrix is $0$ at $(0,2)$

Published on 25 Mar 2026 - 1:16

score 8.1k · Answer 4 · 2018-07-06 09:51:00

8.1k

Views

Product rule for partial differentiation

Published on 06 Jul 2018 - 9:51

score 86 · Answer 5 · 2026-03-26 09:48:15

86

Views

Does there exist a function $f$ such that $∂^2f/∂x\,∂y$ exist but $∂f/∂x$ does not exist?

Published on 26 Mar 2026 - 9:48

score 1.8k · Answer 6 · 2018-07-06 20:29:46

1.8k

Views

Can directional derivatives be written as linear combination of partial derivatives even if f is not differentiable?

Published on 06 Jul 2018 - 20:29

score 94 · Answer 7 · 2026-03-25 12:20:56

94

Views

Correctly Differentiating (Cross Entropy and Other) Error Functions

Published on 25 Mar 2026 - 12:20

score 48 · Answer 8 · 2026-03-25 12:15:25

48

Views

$\frac{ \partial{E} }{ \partial{s} } = \frac{ \partial{E} }{ \partial{z} } \frac{ \partial{z} }{ \partial{s} } = z - t$?

Published on 25 Mar 2026 - 12:15

score 54 · Answer 9 · 2026-03-25 13:52:55

54

Views

Where is my mistake in Multivariable Chainrule?

Published on 25 Mar 2026 - 13:52

score 40 · Answer 10 · 2018-07-09 15:35:04

40

Views

A problem from partial derivatives

Published on 09 Jul 2018 - 15:35

score 887 · Answer 11 · 2026-03-25 12:33:06

887

Views

Gradient Descent: Minimising the Directional Derivative in Direction $\mathbf{u}$

Published on 25 Mar 2026 - 12:33

score 2.4k · Answer 12 · 2026-03-26 13:57:18

2.4k

Views

Derivative of Modified Bessel function of second kind

Published on 26 Mar 2026 - 13:57

score 916 · Answer 13 · 2026-03-25 21:46:50

916

Views

Matrix Calculus: $\nabla_{\mathbf{c}}(-2\mathbf{x}^T \mathbf{D} \mathbf{c} + \mathbf{c}^T \mathbf{c}) = -2\mathbf{D}^T \mathbf{x} + 2\mathbf{c}$?

Published on 25 Mar 2026 - 21:46

score 62 · Answer 14 · 2018-07-10 09:43:17

62

Views

partial derivative with respect to a vector using chain rule

Published on 10 Jul 2018 - 9:43

score 120 · Answer 15 · 2018-07-10 21:18:29

120

Views

Prove that $f(x,y)=\frac{yx^6+y^3+x^3y}{x^6+y^2}$ is not differentiable at the origin without appealing to discontinuity

Published on 10 Jul 2018 - 21:18

List Question

why index notation of summation changes during derivative in chain rule?

How to calculate the partial derivative of function within another function?

Extrema when Hessian Matrix is $0$ at $(0,2)$

Product rule for partial differentiation

Does there exist a function $f$ such that $∂^2f/∂x\,∂y$ exist but $∂f/∂x$ does not exist?

Can directional derivatives be written as linear combination of partial derivatives even if f is not differentiable?

Correctly Differentiating (Cross Entropy and Other) Error Functions

$\frac{ \partial{E} }{ \partial{s} } = \frac{ \partial{E} }{ \partial{z} } \frac{ \partial{z} }{ \partial{s} } = z - t$?

Where is my mistake in Multivariable Chainrule?

A problem from partial derivatives

Gradient Descent: Minimising the Directional Derivative in Direction $\mathbf{u}$

Derivative of Modified Bessel function of second kind

Matrix Calculus: $\nabla_{\mathbf{c}}(-2\mathbf{x}^T \mathbf{D} \mathbf{c} + \mathbf{c}^T \mathbf{c}) = -2\mathbf{D}^T \mathbf{x} + 2\mathbf{c}$?

partial derivative with respect to a vector using chain rule

Prove that $f(x,y)=\frac{yx^6+y^3+x^3y}{x^6+y^2}$ is not differentiable at the origin without appealing to discontinuity

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