List questions from chain-rule

Published on 06 Jun 2017 - 7:36

45

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Is it true that $\Delta\cos(k\|x\|)=-k\left(k\cos(k\|x\|)+2\frac{\sin(k\|x\|)}{\|x\|}\right)$?

Published on 06 Jun 2017 - 14:10

142

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Correctness of chain rule proof

Published on 06 Jun 2017 - 21:10

26.1k

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Multivariate Chain Rule and second order partials

Published on 07 Jun 2017 - 1:54

170

Views

If $t$ and $y$ are functions of $x$, and $\frac{dy}{dx}=e^{-t}\frac{dy}{dt}$, why is the second derivative found as follows?

Published on 07 Jun 2017 - 2:38

324

Views

Optimizing integrals

Published on 08 Jun 2017 - 9:35

83

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Let $f(x) = 6\operatorname{arcsec}(2x)$. Find $f'(x)$.

Published on 01 Apr 2026 - 20:25

296

Views

If $y = 6x\ln(x)$, find the following . $y''$

Published on 16 Jun 2017 - 4:49

155

Views

How to differentiate $g(x)=\ln\left( \frac{3 -x}{3 +x}\right)$?

Published on 16 Jun 2017 - 5:10

4k

Views

Chain Rule - Partial Derivatives - dw/dt

Published on 18 Jun 2017 - 18:02

41

Views

A problem in my construction of the proof of Chain rule

Published on 30 Mar 2026 - 11:17

974

Views

Differentiation Chain Rule for Quaternion Functions of Quaternions

Published on 03 Apr 2026 - 7:48

189

Views

Chain rule proof (Duistermaat & Kolk)

Published on 26 Jun 2017 - 17:00

38

Views

Chain rule for one variable

Published on 29 Jun 2017 - 20:13

105

Views

Explanation for chain rule for softmax

Published on 09 Jul 2017 - 10:41

List Question

Chain Rule Differentiation Functional Decomposition via Addition

Is it true that $\Delta\cos(k\|x\|)=-k\left(k\cos(k\|x\|)+2\frac{\sin(k\|x\|)}{\|x\|}\right)$?

Correctness of chain rule proof

Multivariate Chain Rule and second order partials

If $t$ and $y$ are functions of $x$, and $\frac{dy}{dx}=e^{-t}\frac{dy}{dt}$, why is the second derivative found as follows?

Optimizing integrals

Let $f(x) = 6\operatorname{arcsec}(2x)$. Find $f'(x)$.

If $y = 6x\ln(x)$, find the following . $y''$

How to differentiate $g(x)=\ln\left( \frac{3 -x}{3 +x}\right)$?

Chain Rule - Partial Derivatives - dw/dt

A problem in my construction of the proof of Chain rule

Differentiation Chain Rule for Quaternion Functions of Quaternions

Chain rule proof (Duistermaat & Kolk)

Chain rule for one variable

Explanation for chain rule for softmax

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