/sci/ - Science & Math » Thread #12447593

11KiB, 267x238, 1588167230806.jpg

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Anonymous Thu 10 Dec 12:34:08 2020 No.12447593 View Reply Original Report

Quoted By: >>12447600 >>12447602 >>12447756 >>12448597 >>12451012 >>12451395 >>12452381 >>12452722 >>12452801

ok can someone explain to my retarded self how the fuck the highlighted term comes about especially the two du/dx terms

Anonymous

Anonymous Thu 10 Dec 2020 12:38:31 No.12447600 Report

Quoted By: >>12447603

>>12447593
chain rule

Anonymous

Anonymous Thu 10 Dec 2020 12:39:12 No.12447602 Report

Quoted By: >>12447603

>>12447593
addition

Anonymous

Anonymous Thu 10 Dec 2020 12:39:53 No.12447603 Report

Quoted By: >>12447705

>>12447600
>>12447602
how?

Anonymous

Anonymous Thu 10 Dec 2020 13:21:45 No.12447705 Report

Quoted By: >>12447766

>>12447603
derivative of first * second + first * derivative second

Anonymous

Anonymous Thu 10 Dec 2020 13:24:51 No.12447710 Report

Quoted By:

just think of differentials as operators

Anonymous

Anonymous Thu 10 Dec 2020 13:43:16 No.12447756 Report

Quoted By:

>>12447593
with a microscope

Anonymous

Anonymous Thu 10 Dec 2020 13:47:03 No.12447766 Report

Quoted By:

>>12447705
Nigga that’s product rule

Anonymous

Anonymous Thu 10 Dec 2020 17:59:18 No.12448597 Report

Quoted By: >>12451020

>>12447593
Whoever made this accidentally put in a second du/dx term. Its just the product rule.

Anonymous

Anonymous Fri 11 Dec 2020 02:19:23 No.12451012 Report

Quoted By:

>>12447593
remember d/dx = d/du du/dx

Anonymous

Anonymous Fri 11 Dec 2020 02:22:32 No.12451020 Report

Quoted By:

>>12448597
no. the jpg is correct.

Anonymous

Anonymous Fri 11 Dec 2020 04:35:24 No.12451395 Report

Quoted By:

>>12447593
Let f = dy/du * du/dx and rewrite df/dx as a derivative wrt u.

Anonymous

Anonymous Fri 11 Dec 2020 12:55:29 No.12452381 Report

Quoted By:

>>12447593
They are using the product rule which means you need d/dx(dy/du) * du/dx as your first term. The left factor can be solved with chain rule:
d/dx(dy/du) = d/du(dy/u) * du/dx

Anonymous

Anonymous Fri 11 Dec 2020 13:30:38 No.12452464 Report

Quoted By:

Multiply with du/du

Anonymous

Anonymous Fri 11 Dec 2020 14:17:52 No.12452626 Report

Quoted By:

Product rule and chain rule.

Anonymous

Anonymous Fri 11 Dec 2020 14:44:38 No.12452722 Report

Quoted By:

>>12447593
du is typically used as a substitution to simplify integration.

Anonymous

Anonymous Fri 11 Dec 2020 15:11:06 No.12452801 Report

Quoted By:

>>12447593
>the two du/dx terms
one from the product rule, the other from swapping from d/dx to d/du

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