Math Is Fun Forum

Karimazer1

Guest

Differentiating this....

So the first two do look a little confusing, what I mean it

so that whole equation, if I had to differentiate it with respect to 'c', how would it work....

Would it be quotient rule for both sides? I really don't have a clue how to go about this...

Is this 'difficult' differentiation? Or should this and similar questions be ok to solve?

Thanks!!!!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Differentiating this....

Hi Karimazer;

How can you differentiate with respect to c? Is c(t), c*t? Normally c(t) is for functions.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Karimazer1

Guest

Re: Differentiating this....

I know how crazy it looks, but the previous example is exactly the same, but it's nicer so I could do it...

If you want, I can post that one up to show you? The answer in the book is exactly the same, (t) isn't meant to mean a function, it's just meant to represent the time 't' in which 'c' was, because c changes over time...

I don't know why, but that's in the context of the question, in that it's over time, and 'c' changes in each time period..so it's differentiated just as if it were 'c' and not 'c(t)'....

Does that kind of make sense?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Differentiating this....

Let me see your example.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Karimazer1

Guest

Re: Differentiating this....

I am sorry... this will be a mess!

So now,

I am sorry for the bad script, if you write it out (if you want, I honestly don't blame you if you don't want to help with this one) then you can see it a bit clearer, and that was much easier for me to differentiate...even though the second part had c(d) and not 'c', it just means it was a different integer so it's differentiated just as if it was 'c'....

I hope you can see what I mean? Maybe just look at the math and don't read my nonsense haha!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Differentiating this....

Hi;

I am not getting that. I am getting:

and

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.