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C3 differentiation

Why is the differential of e3xe^{3x}

3e3x3e^{3x}

and not 3xe3x−13xe^{3x-1}??
Reply 1
Avatar for JLegion
JLegion
2
Original post by thegreatwhale
Why is the differential of e3xe^{3x}

3e3x3e^{3x}

and not 3xe3x−13xe^{3x-1}??


Because e^x differentiates to e^x, rather than e^(x-1).
Original post by JLegion
Because e^x differentiates to e^x, rather than e^(x-1).


awww **** i forgot >.> lemme just ky haha

jokes jokes

right thanks for that
Reply 3
Avatar for B_9710
B_9710
18
Original post by thegreatwhale
Why is the differential of e3xe^{3x}

3e3x3e^{3x}

and not 3xe3x−13xe^{3x-1}??


It's the derivative, not the differential.
Original post by B_9710
It's the derivative, not the differential.


oops so what's differential then?
Reply 5
Avatar for B_9710
B_9710
18
Original post by thegreatwhale
oops so what's differential then?


https://en.m.wikipedia.org/wiki/Differential_(mathematics)
Reply 6
Avatar for Zacken
Zacken
22
Original post by thegreatwhale
oops so what's differential then?


Read this: http://math.blogoverflow.com/2014/11/03/more-than-infinitesimal-what-is-dx/ - extremely inspiring stuff.
Original post by B_9710

ah so would it be correct for me to say the first differential?
for dydx\dfrac{\mathrm d y}{\mathrm d x}?
Original post by Zacken

sounds awesome cheers Zacken, i can use this on my personal statement as part of the "what inspired you to do maths" part >.>
in any case

does that lim thing mean where the change in x is going towards 0???
I may need to post back here a few times aswell to ask about a few other things i may not understand ^-^
Reply 8
Avatar for B_9710
B_9710
18
dy/dx is the first derivative of y with respect to x.

Original post by thegreatwhale
ah so would it be correct for me to say the first differential?
for dydx\dfrac{\mathrm d y}{\mathrm d x}?

sounds awesome cheers Zacken, i can use this on my personal statement as part of the "what inspired you to do maths" part >.>
in any case

does that lim thing mean where the change in x is going towards 0???
I may need to post back here a few times aswell to ask about a few other things i may not understand ^-^
Reply 9
Avatar for Zacken
Zacken
22
Original post by thegreatwhale
ah so would it be correct for me to say the first differential?
for dydx\dfrac{\mathrm d y}{\mathrm d x}?


No, derivative. Not differential.

sounds awesome cheers Zacken, i can use this on my personal statement as part of the "what inspired you to do maths" part >.>
in any case
does that lim thing mean where the change in x is going towards 0???
I may need to post back here a few times aswell to ask about a few other things i may not understand ^-^


You might be better off not reading it if you don't know what a limit is. :-P
Original post by B_9710
dy/dx is the first derivative of y with respect to x.


Original post by Zacken
No, derivative. Not differential.



You might be better off not reading it if you don't know what a limit is. :-P


Thanks both.

hmmm, i scrolled halfway down the page and i said nope and just scrolled back up xD

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