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## The Math Game

So I quite enjoy solving math equations, as do many of us and I noticed that there were no mathematics subforums.

So let's dedicate a thread to mathematics, solving math equations to be more precise.

Right, I will give two equations you need to solve. The two I will give will involve differentiation, one is harder than the other.

1. Differentiate:

2. Differentiate:

Anyone who can solve one or both, can post a math equation to solved themselves. Enjoy!
Last edited by Aethelwulf; 2012-Apr-29 at 02:33 PM.

2. Differentiation is a simple mechanical process, no puzzle involved.

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Puzzle is in fact the wrong terminology. These are just equations, games to solve which you can then posit an equation yourself.

Good stimulus for the brain!

though I expect simplification as well. Not just differentiation.

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(changed it because you are right. That was wrong using that word.)

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You'll notice the second equation requires the qoutient rule, and the chain rule. So much more comes with this than just differentiation.

6. Quotient rule and chain rule are differentiation! Besides, those problems are too much like homework.

What do you know? It looks like I'm up!

7. Physics Forums has a whole math-related section.

Fred

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Originally Posted by grapes

What do you know? It looks like I'm up!
They are methods of finding derivatives... if someone said, find the derivative of you would not use the chain rule. You'd use the fundamental relations of calculus and you'd calculate as your derivative. I can assure you its not homework. Here look, I'll prove it...

Let's see...

and viola!

The second is a little more complicated a lot of work to go through.

I won't go through it all with derivativation to save latex time, but I got:

That one wasn't pretty at all. I actually had someone post me answers in a PM... I need to cross check to see if he has it right now.
Last edited by Aethelwulf; 2012-May-01 at 12:13 PM.

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This really just was for fun... ??

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Now that I have solved it takes the fun out of it. So here is a new one:

I would like you to write the Taylor series for the following equation:

There is a twist to this though. I wonder if anyone will notice what it is.

11. Reason
This thread was in Fun-n-Games when I posted in it.

12. Let's see I get zero for both differentiations, taking the derivative with respect to z.
One might want to say to which variable the differentiation needs to be done.

13. Reason
This thread was in Fun-n-Games when I posted in it.

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Originally Posted by Coelacanth
It's a polynomial, so it is its own power series
Yes, Bravo. But then I knew you got it right because I've been speaking with you.

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Originally Posted by tusenfem
Let's see I get zero for both differentiations, taking the derivative with respect to z.
One might want to say to which variable the differentiation needs to be done.
Sure.

Work out all the derivatives of F at zero. The formula would look like this

16. The first problem in post#1 is different than the first problem in post#8, was that intentional?

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Originally Posted by grapes
The first problem in post#1 is different than the first problem in post#8, was that intentional?
Oh darnit, have I muddled up somewhere... hold on while I check everything. Thanks!

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sorry about that. That wasn't intentional at all. Fixed now. Good to see someone alert!

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