- 03 Jan '07 10:05

Oh really? Because that's what maple gives me for the differential of arcsin(x+1/x) wrt x.*Originally posted by FischerRandom***second and third are right but not the first.keep trying.**

Perhaps you meant arcsin((x+1)/x) or sin (x+1/x)^-1 or something else entirely.

Keep trying.

PS. These questions are stupid. - 03 Jan '07 13:51

Using maple? Well, then it is not hard...*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 Fritz too? - 03 Jan '07 14:03

If you don't want to use maple (or similar) you basically go to a big table of differentials and look it up.*Originally posted by FabianFnas***Using maple? Well, then it is not hard...**

Using Fritz too?

It's the same in the end and one is faster than the other.

I'll assume that the last comment is a joke. - 03 Jan '07 15:42

no i mean only sin inverse and nothing else.*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. - 03 Jan '07 17:09

Of course it was a joke, hence the blinking MrSmilie.*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.

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: - 03 Jan '07 17:38

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?*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:

Puzzlemakers do not always intend for their puzzle to be solved by humans. See question 2 of the puzzle in Thread 56774. - 03 Jan '07 18:27

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.*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.

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. - 03 Jan '07 19:14 / 4 edits

If y = sin(x) then x = arcsin(y) or x = sin^-1(y)*Originally posted by FischerRandom***no i mean only sin inverse and nothing else.**

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.