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/sci/ - Science & Math

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[ERROR] No.3667448 [Reply] [Original]

what the fucks the point of a derivative

>> No.3667457

for a start, to find the rate of something.

it's basically ubiquitous in applied physics and so is necessary for all the technology around you.

they're not even hard to calculate. whine elsewhere you dumb fuck.

>> No.3667460

Derivatives can be used for speculating purposes or to hedge. For example, a speculator may sell deep in-the-money naked calls on a stock, expecting the stock price to plummet, but exposing himself to potentially unlimited losses. Very commonly, companies buy currency forwards in order to limit losses due to fluctuations in the exchange rate of two currencies.

>> No.3667468

>>3667457
no i know how to do them perfectly and all, but i still don't understand how the derivative is used to find the rate of something

>> No.3667489
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[ERROR]

The differential d is a map of the function space over M to N into the space of functionals of the tangential space over M to the tangential space over N.

Any questions?

>> No.3667497

>>3667489
>tangential space

lying whore

>> No.3667501

>>3667489
>hurr durr I can repeat definitions

>> No.3667518
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[ERROR]

>>3667497
should I say tangent space?

>>3667501
I wasn't trying to be helpful in this post, but I think that is they way one should eventually think about the differential (as opposed to infinitesimal quantities). not to be confused with the partial derivative, which this thread is most definately about.

>> No.3667535

Geussing from OP's post I think he just wanted a simple example where derivatives are used.
Something like velocity or electric current.

sage for highschool bullshit

>> No.3667613

>>3667468
Lets say you want to create a formula for acceleration.
We know that acceleration is the rate of change of velocity (with respect to time), so we differentiate our velocity formula (with respect to time).
Poof, out pops an acceleration formula!

>> No.3667627

>>3667535
Change in velocity is the most obvious example.