case 1)

Images are sometimes not shown due to bandwidth/network limitations. Refreshing the page usually helps.

You are currently reading a thread in /sci/ - Science & Math

You are currently reading a thread in /sci/ - Science & Math

Thread images: 1

File: Screenshot 2016-01-25 00.09.47.png (368 KB, 1230x573)
Image search:
[iqdb]
[SauceNao]
[Google]

368 KB, 1230x573

case 1)

f = f(x,y,z) where we know that x,y,z are INDEPENDENT of each other

- the total derivative:

[math]\frac {df} {dx} = \frac {\partial f} {\partial x} \frac {dx} {dx} + \frac {\partial f} {\partial y} \frac {dy} {dx} + \frac {\partial f} {\partial z} \frac {dz} {dx}[/math]

[math]\frac {df} {dx} = \frac {\partial f} {\partial x} (1) + \frac {\partial f} {\partial y} (0) + \frac {\partial f} {\partial z} (0)[/math]

[math]\frac {df} {dx} = \frac {\partial f} {\partial x}[/math]

- the partial:

[math]\frac {\partial f} {\partial x} = \frac {\partial f} {\partial x}[/math]

case 2)

f = f(x,y,z) where we know that x,y,z are DEPENDENT on x

- the total derivative:

[math]\frac {df} {dx} = \frac {\partial f} {\partial x} \frac {dx} {dx} + \frac {\partial f} {\partial y} \frac {dy} {dx} + \frac {\partial f} {\partial z} \frac {dz} {dx}[/math]

[math]\frac {df} {dx} = \frac {\partial f} {\partial x} (1) + \frac {\partial f} {\partial y} \frac {dy} {dx} + \frac {\partial f} {\partial z} \frac {dz} {dx}[/math]

[math]\frac {df} {dx} = \frac {\partial f} {\partial x} + \frac {\partial f} {\partial y} \frac {dy} {dx} + \frac {\partial f} {\partial z} \frac {dz} {dx}[/math]

- the partial:

[math]\frac {\partial f} {\partial x} = \frac {\partial f} {\partial x} + \frac {\partial f} {\partial y} \frac {\partial y} {\partial x} + \frac {\partial f} {\partial z} \frac {\partial z} {\partial x}[/math]

mfw partials and totals are same and mathfags just like to jerk themselves off with different notations

>>

>mfw sci doesnt reply to anything that doesnt have

.9999999 = 1???

earth is flat faggots

meme musk rockets

le fucking ai doom bots

>>

>>7809153

What the fuck are you doing? The total derivative is as you wrote it. The partial derivative does derivation assuming the other variables constant.

That is \frac{\partial f}{\partial x} = \frac{\partial f}{\partial x} on both occasions.

>>

>>7809337

Apparently I must do something more for latex output to appear.

Thread images: 1

Thread DB ID: 463527

All trademarks and copyrights on this page are owned by their respective parties. Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.

This is a 4chan archive - all of the shown content originated from that site. This means that 4Archive shows their content, archived. If you need information for a Poster - contact them.

If a post contains personal/copyrighted/illegal content, then use the post's