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differentiating a piecewise function

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Reply 1
Original post by Mihael_Keehl


Quite a few, you got any yourself? Seems a bit weird that you're using nn as a continuous variable, by the way.
Reply 2
Original post by Mihael_Keehl


What makes you think the function is both left and right differentiable, by the way?
Reply 3
Original post by Mihael_Keehl


I am not known for my pure maths but for differentiation continuity is a prerequisite
Original post by Mihael_Keehl

vomit; ignore.
(edited 8 years ago)
Original post by Mihael_Keehl


Original post by Zacken
What makes you think the function is both left and right differentiable, by the way?


Original post by TeeEm
I am not known for my pure maths but for differentiation continuity is a prerequisite


My second year analysis springs to mind (as that's checking whether the function is able to be differentiated from both the right and left and side) :tongue:
Original post by TeeEm
I am not known for my pure maths but for differentiation continuity is a prerequisite


lol!

Just ignore the second function, it's a load of crap anyway.
Original post by Slowbro93
My second year analysis springs to mind (as that's checking whether the function is able to be differentiated from both the right and left and side) :tongue:


Surely this is basic a-level / advanced GCSE?
Reply 8
Original post by Bath_Student
Simply differentiate n^2 + 1 and plug n=1 into the answer.

Should be approximately equal to two.


Remember what it was you said yesterday? Not to say anything when you're clueless? Yeah, that applies here.
Original post by Zacken
Quite a few, you got any yourself? Seems a bit weird that you're using nn as a continuous variable, by the way.


I am not sure it is even possible.

Original post by Zacken
What makes you think the function is both left and right differentiable, by the way?

Draw the graph, there is a gap in there and so you cant draw a tanget to it or at least dx=0 so f'(1) doesnt exist.
Reply 10
Original post by Slowbro93
My second year analysis springs to mind (as that's checking whether the function is able to be differentiated from both the right and left and side) :tongue:


Awesome, thanks for confirming that, saved me a quick wiki lookup. :biggrin:
Reply 11
Original post by Bath_Student
lol!

Just ignore the second function, it's a load of crap anyway.


:smile:
Reply 12
Original post by Mihael_Keehl
I am not sure it is even possible.


Draw the graph, there is a gap in there and so you cant draw a tanget to it or at least dx=0 so f'(1) doesnt exist.


That's correct, your justification isn't the best, but I suppose it'll do at your level.
Original post by Bath_Student
Surely this is basic a-level / advanced GCSE?


It should be, but given that it's on the point I can't exactly remember the rule of just forgetting the second function (this is what a maths degree did to me :tongue: )
Original post by TeeEm
I am not known for my pure maths but for differentiation continuity is a prerequisite

the dy/dx is e/z what I get is a gap in the graph for f'(x) so not possible right :P
Original post by Bath_Student
Simply differentiate n^2 + 1 and plug n=1 into the answer.

Should be approximately equal to two.

maybe in c1 :biggrin:
I dont think it is that simple idk

Original post by Slowbro93
My second year analysis springs to mind (as that's checking whether the function is able to be differentiated from both the right and left and side) :tongue:

:biggrin:
Original post by Slowbro93
It should be, but given that it's on the point I can't exactly remember the rule of just forgetting the second function (this is what a maths degree did to me :tongue: )


I have seen what it did to TeeEm, I have been warned not to study maths already :biggrin:

#engineeringmasterrace.
Original post by Zacken
That's correct, your justification isn't the best, but I suppose it'll do at your level.


Could I say that it is infinty?
Reply 17
Original post by Slowbro93
It should be, but given that it's on the point I can't exactly remember the rule of just forgetting the second function (this is what a maths degree did to me :tongue: )


No, you're quite correct.

Original post by Mihael_Keehl
Could I say that it is infinty?


No. You say it is non-existent.
Original post by Mihael_Keehl
Could I say that it is infinty?


Nah, it just does not exist.

Sorry for my lousy faux-pas. I'll point at the time for my excuse..
Original post by Zacken
No, you're quite correct.



No. You say it is non-existent.


Original post by Bath_Student
Nah, it just does not exist.

Sorry for my lousy faux-pas. I'll point at the time for my excuse..



thnx guys :smile:

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