Soldato
- Joined
- 2 Dec 2006
- Posts
- 8,204
Hey well trying to revise and ive managed to get my self into a mind block. Its a quick question for anyone who knows how to do it.
Im trying to prove arctanh and this is what i have so far but im lost at filling in the gap . as you should get
x(e^(2y) + 1) = e^(2y) - 1
e^(2y) = x(e^(2y)+ 1) - 1
So any help would be appreciated, its probably quite simple and im being dumb. Cheers.
ignore "<><>" thats just me trying to space it out as you can't do it on these forums.
-------------------------------------------
y = argtanh(x)
<><> e^(y) - e^(-y)
x = -------------------
<><> e^(y) + e^(-y)
<><> e^(2y)- 1
x = ----------------------
<><> e^(2y)+ 1
<Unsure of this point>
<><><> 1 + x
e^(2y) = ---------
<><><> 1 - x
<><><><> 1 + x
y = (1/2) ln ------
<><><><> 1 - x
Im trying to prove arctanh and this is what i have so far but im lost at filling in the gap . as you should get
x(e^(2y) + 1) = e^(2y) - 1
e^(2y) = x(e^(2y)+ 1) - 1
So any help would be appreciated, its probably quite simple and im being dumb. Cheers.
ignore "<><>" thats just me trying to space it out as you can't do it on these forums.
-------------------------------------------
y = argtanh(x)
<><> e^(y) - e^(-y)
x = -------------------
<><> e^(y) + e^(-y)
<><> e^(2y)- 1
x = ----------------------
<><> e^(2y)+ 1
<Unsure of this point>
<><><> 1 + x
e^(2y) = ---------
<><><> 1 - x
<><><><> 1 + x
y = (1/2) ln ------
<><><><> 1 - x
Last edited:
. Dunno how it took me that long tbh. Need more coffee!