3 maths problems

1.Differentiate sin inverse (x+1/x) with respect to x.
2.what is the answer of the series
(a-x)(b-x)(c-x)..............(z-x).
3.integral of e to the power of x square dx.
solve them and post the solution.

I gave that up seven years ago, sorry.

1. (1-1/x^2)/(1-(x+1/x)^2)^(1/2)

2. 0

3. Doesn't exist

Originally posted by XanthosNZ
1. (1-1/x^2)/(1-(x+1/x)^2)^(1/2)

2. 0

3. Doesn't exist

second and third are right but not the first.keep trying.

Originally posted by FischerRandom
second and third are right but not the first.keep trying.

Oh really? Because that's what maple gives me for the differential of arcsin(x+1/x) wrt x.
Perhaps you meant arcsin((x+1)/x) or sin (x+1/x)^-1 or something else entirely.

Keep trying.

PS. These questions are stupid.

Sorry - it's been a while since I did maths. Why doesn't the third exist?

I am reading it as S (e^(x^2)) dx, maybe I'm wrong there? I can't see why that has no integral solution.

Originally posted by Zeddicus
Sorry - it's been a while since I did maths. Why doesn't the third exist?

I am reading it as S (e^(x^2)) dx, maybe I'm wrong there? I can't see why that has no integral solution.

Try it.

Originally posted by XanthosNZ
Oh really? Because that's what maple gives me for the differential of arcsin(x+1/x) wrt x.
Perhaps you meant arcsin((x+1)/x) or sin (x+1/x)^-1 or something else entirely.

Keep trying.

PS. These questions are stupid.

Using maple? Well, then it is not hard... 🙄
Using Fritz too? 😉

Lol, there's no way I can do it, but I don't take my inability to do something as proof that something can't be done! That would make mathematics far too easy.

Is there a consise proof that it's not possible?

Originally posted by FabianFnas
Using maple? Well, then it is not hard... 🙄
Using Fritz too? 😉

If you don't want to use maple (or similar) you basically go to a big table of differentials and look it up.
It's the same in the end and one is faster than the other.

I'll assume that the last comment is a joke.

Originally posted by XanthosNZ
Oh really? Because that's what maple gives me for the differential of arcsin(x+1/x) wrt x.
Perhaps you meant arcsin((x+1)/x) or sin (x+1/x)^-1 or something else entirely.

Keep trying.

PS. These questions are stupid.

no i mean only sin inverse and nothing else.

Originally posted by XanthosNZ
If you don't want to use maple (or similar) you basically go to a big table of differentials and look it up.
It's the same in the end and one is faster than the other.

I'll assume that the last comment is a joke.

Of course it was a joke, hence the blinking MrSmilie.
But still, solving a mathematical puzzle using Maple doesn't give any credits, as solving a mate-in-two using Fritz...
I don't think the threadmaker, the puzzlemaker, ment that the puzzle would be solved with silicon intelligence but with the more sofisticated computer, called brain.
Now, before you get angry I put another MrSmiley to smooth any hard feelings: 😵

Originally posted by FabianFnas
Of course it was a joke, hence the blinking MrSmilie.
But still, solving a mathematical puzzle using Maple doesn't give any credits, as solving a mate-in-two using Fritz...
I don't think the threadmaker, the puzzlemaker, ment that the puzzle would be solved with silicon intelligence but with the more sofisticated computer, called brain.
Now, before you get angry I put another MrSmiley to smooth any hard feelings: 😵

How about solving a mate in 100+ moves with 2 Knights versus a Pawn? There are some of those in the Nalimov tablebase. What human would want to bother solving such a tedious and lengthy endgame?

Puzzlemakers do not always intend for their puzzle to be solved by humans. See question 2 of the puzzle in Thread 56774.

Originally posted by BigDoggProblem
How about solving a mate in 100+ moves with 2 Knights versus a Pawn? There are some of those in the Nalimov tablebase. What human would want to bother solving such a tedious and lengthy endgame?

Puzzlemakers do not always intend for their puzzle to be solved by humans. See question 2 of the puzzle in Thread 56774.

True, but how hard can it be to press a button on a keyboard? If I solved a mate-in-99 with Fritz, does people say "Oh, how clever you are"? I don't think so.

I know Xantoz is intelligent (no Smiley here) but even my nephew, 9 years old can press a button. Does this mean that he is clever as Xantoz? I don't think so.

Originally posted by FischerRandom
no i mean only sin inverse and nothing else.

If y = sin(x) then x = arcsin(y) or x = sin^-1(y)

saying sin inverse (y) isn't very clear as it can be confused with

x = 1 / sin(y) or x = sin(y)^1

EDIT:

1. The derivative of f(x) = arcsin x is given by

f '(x) = 1 / sqrt(1 - x^2)

Therefore the answer is

1 / sqrt(1 - ((x^2 + x + 1) / x^2)

Assuming you meant that sin inverse is arcsin.

EDIT2: Which appears to be the same as Xanthos's answer, without doing any checking.

Other edits were grammatical. 😛