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Totoro wrote on 2012-11-09 02:25
And help me with calc problem please? :D
How do you prove that e^x = ln (1+x)^(1/x)?
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Kueh wrote on 2012-11-09 02:39
I don't think it is equal. Are you sure that it really is?
If you think of the graphs, e^x is a simple exponential that has no negative values, while the other side will be some ugly noodle-wavy crap that does have negative values.
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Lan wrote on 2012-11-09 02:41
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Totoro wrote on 2012-11-09 02:48
It was on my friend's college calc midterm apparently, so I'm guessing they should be equal o_O
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RealityBreak wrote on 2012-11-09 02:51
They're not equal =/
There must have been errors in transcription. You now has mutated proof that doesn't work.
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Kueh wrote on 2012-11-09 02:52
Quote from Totoro;978182:
It was on my friend's college calc midterm apparently, so I'm guessing they should be equal o_O
If you just use a graphing calculator, it's pretty clear they aren't equal.
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Totoro wrote on 2012-11-09 03:01
Why is friend lying to me Q_______Q
On a related note, how hard are the upper levels of calc? I'm talking about multivariable, differentials, and linear algebra. I have to take all of them for my future major >:[
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RealityBreak wrote on 2012-11-09 03:02
Quote from Totoro;978196:
Why is friend lying to me Q_______Q
On a related note, how hard are the upper levels of calc? I'm talking about multivariable, differentials, and linear algebra. I have to take all of them for my future major >:[
They suck. I'm only on differential, but I heard multivariable is bs and sucks (and it already sucks for me).
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Totoro wrote on 2012-11-09 03:07
I heard multi is only a step harder than one-variable because it's the same concepts except 3-dimensional? o-O
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Kueh wrote on 2012-11-09 03:11
Quote from Totoro;978196:
Why is friend lying to me Q_______Q
On a related note, how hard are the upper levels of calc? I'm talking about multivariable, differentials, and linear algebra. I have to take all of them for my future major >:[
It's all relatively straightforward and simple, until you finish intervals. Up until then, problems are 95% algebra with a bit of calculus at the end.
Once you have to do differentiable equations (different from differentials) and euler's rules, it starts to get really complicated and drawn out, to the point where you HAVE to use computers for certain problems.
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Enhalo wrote on 2012-11-09 03:33
Linear Algebra was very interesting and in my opinion, easier than mutlivar~
Though, I also think that mutlivar was in the top three classes I've had to take. Granted, I had 20 physical science units that semester :<
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TLCBonaparte wrote on 2012-11-09 03:46
Quote from Totoro;978164:
And help me with calc problem please? :D
How do you prove that e^x = ln (1+x)^(1/x)?
first bring down the power
e^x = (1/x) ln (1+ x)
now time both side by x
xe^x = ln (1+x)
take derivative of both side you get
e^x(1+x) = 1/(1+x)
simplify
e^(x+x^2) = 1/(1+x)
log both side
(x+x^2)lne = ln1 - ln(1+x)
(x+x^2) = ln(1+x)
... I got nothing
WAIT!
e^(x+x^2) = (1+x)
e^x * e^(x^2) = (1+x)
ok still nothing
[SIZE="5"]WAIT![/SIZE]
xlne + x^2lne = ln (1+x)
x + x^2 = ln (1+x)
x(1+x) = ln(1+x)
Derivative
1+2x = 1/(1+x)
... ok they are not equal, or I did something wrong during the calculation -_-
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RealityBreak wrote on 2012-11-09 03:49
Quote from TLCBonaparte;978225:
first bring down the power
e^x = (1/x) ln (1+ x)
now time both side by x
xe^x = ln (1+x)
take derivative of both side you get
e^x(1+x) = 1/(1+x)
log both side
xln(e) = ln1 - ln (1+x)
x = ...
ok I got nothing.
lololol nice try.
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psyal wrote on 2012-11-09 04:10
Quote from Totoro;978164:
And help me with calc problem please? :D
How do you prove that e^x = ln (1+x)^(1/x)?
If you have trouble making sure they're equal, an important thing to do is to check with some value of x.
Such as:
e = ln(2), with x = 1
I'd suggest you check what the actual problem is with the textbook or worksheet it originated from. Also, if you meant e^x = ln((x+1)^(1/x)), make sure your syntax is correct when typing a problem.
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TLCBonaparte wrote on 2012-11-09 04:12
Quote from psyal;978242:
If you have trouble making sure they're equal, an important thing to do is to check with some value of x.
Such as:
e = ln(2), with x = 1
I'd suggest you check what the actual problem is with the textbook or worksheet it originated from. Also, if you meant e^x = ln((x+1)^(1/x)), make sure your syntax is correct when typing a problem.
goddammit. that's why my calculation was off. Son of a...