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/sci/ - Science & Math

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File: 31 KB, 379x408, derivativegraph1.jpg [View same] [iqdb] [saucenao] [google]
8259292 No.8259292 [Reply] [Original]

Could someone please explain how to find d/ds ds/dt? Wolfram Alpha says it is 0, but I do not understand why. I drew some graphs but they don't seem to show that d^2 s/ds dt is always zero.

>> No.8259313

d/ds is equal to derivating a constant, so 0

ds/dt is equal to derivating s(t)

>> No.8259315

>>8259313
>derivating
*differentiating*

>> No.8259316

>>8259315
What I meant was what is the derivative with respect to s of ds/dt
d/ds (ds/dt)

>> No.8259358

>>8259316
That would completely depend on the function. If s=t^2+1 then ds/dt=2t and d(ds/dt)/ds=0 for example. This will always turn out to be 0 unless your original function is something like s=s*t^2+t (or if it's a more complicated differential equation). The point is, in your case ds/dt will only ever be a function of t (and not a function of s) and so d/ds of this must be 0.

>> No.8259939

>>8259358
What do you mean by "in [my]case"? If you mean the picture, that was not the function in question.
ds/dt is a relativistic velocity during constant acceleration. It doesn't seem to me that that would depend on s, but I don't know what the exact relationship is.

>> No.8260038
File: 35 KB, 1227x846, 180px_IGC_Chart_7437f.png [View same] [iqdb] [saucenao] [google]
8260038

>>8259292

>> No.8260044

>>8260038
Aren't the axes reversed?

>> No.8260080
File: 12 KB, 250x214, 1453947099834.jpg [View same] [iqdb] [saucenao] [google]
8260080

>>8260044
>not knowing how to read a graph

>> No.8260090

>>8260080
1972 is on the left and the present is on the right suggests the time goes from left to right. Also the crash for 2014 is to the right of the crash for 1983. A slope downward for the two crashes suggests a fall in games played which suggests the games played is on the vertical axis.

>> No.8260176

>>8260090
It is correct.

>> No.8260183

>>8260176
What is correct?

>> No.8260189

the ds cancels out:
d/ds ds/dt = d/dt

>> No.8260202

>>8260189
Was the graph supposed to show that?

>> No.8260228

>>8259292
Can you give more context? d/ds ds/dt is a differential operator, it doesn't do much on its own.

>> No.8260281

>>8260228
I'm trying to take the derivative with respect to s (a coordinate distance) of the velocity.