A three-dimensional model of an exponential function.

back to >>>sci anon

if you don't have any emotion-driven self-pity you have nothing to offer us

How do I solve
e^-x =x?

>>37439992
Please respect the function.

whats the point of making it 3d when nothing changes in the y dimension

>>37439999
Use a logarithm or some shit.

>>37440029
Do not question the function.

>>37439992
/sci/ is too smart for our posts. We were too autistic to finish college so this is what we get.

There's your self-pity.

>Not doing a 3D trig function and enjoying the wobbliness

>>37440006
>Please respect the function

*nods respectfully*

>>37440032
That just turns into
ln(x) = -x

>>37439999
logx = -x

I think that's it.

Does a 3D parabola look any cooler?

>>37440088
fuck ignore me I'm literally retarded do >>37440083

>>37439999
Fuck, with those digits you need a message from god.

>>37440088
>>37440083
No x has a value. Google isn't helping so I thought I'd ask in a math thread

>>37440116
Your question's fucked man. There's no way for x to have a value in that logarithmic equation. Unless you're supposed to graph it I guess?

>>37439960
i mean a bowl is another example too. There's many things that mimic an exponential function. All you're saying is that there is an increasing curve, how is that amazing?

>>37440146
That's how I wound up solving it but I'm sure there's a non graph way to do it

>>37440161
The way that function is written means there's infinite solutions. Is the answer supposed to be in a certain form?

>>37440097
It looks like a cylinder that's pointy and round on the end.

It's like a lava lamp.

>>37440211
Yes according to the answer key it's 0.567 but now idea how they got there

>>37439960
>three-dimensional
For what purpose

>>37440288
If you're doing mathlabs it's probably a fucked question. Just remember the specific answer to that because it's not going to change.

>>37440322
y is f(x) and the equation is f(x)=x^2

>>37440316
It's not fucked. Wolfram Alpha yields the same result.

>>37440288
must use Lambert W-Function, as W(1)=0.56714..
Now we only have to learn how to fucking use it, in order to actually answer the question.

>>37440288
>>37440394
What math class are you taking? This isn't high school, is it?

>>37440161
Newton's method.

>>37440211
There aren't infinite solutions. If you plot the graphs you see there is only one intersection (solution).

>>37440322
z=f(x,y)=exp(x)
It's just z=exp(x) translated along the y axis.

>>37440420
Summer calc class in college We're pretty early on and I'm 100% positive we haven't learned Lambert w.

>>37440420
lol no, finished calculus 2, now I'm studying statistics, still, not good enough to actually help

>>37440438
>>37440462
Looking at the graphs used to represent this function on Wikipedia, it looks like really advanced stuff. I'm not a math expert, but my college classes taught me that if a graph needs fucking colors to convey information, some wild shit is going on.

>>37439999
RREEEEE CHEKD

>>37440488
The colours just represent the z value at that point. Lower z = colder colour. Larger z = warmer colour. Notice how the colour is the same for a given x?

>>37440488
So, this is how you use W(x) the dumb way:

We must somehow turn our function into something that has the form x=ye^y so that we can use the definition y=w(x), in which we already know x=1.

Could grab a piece of paper and give it a try

>>37439999
It doesn't have a "nice" solution, all you can do is graph it/solve numerically
x is 0.56714

File: uhthis.jpg (108KB, 495x350px)

108KB, 495x350px

>>37439992
we come in cringe

>>37439999
https://en.wikipedia.org/wiki/Lambert_W_function#Example_1

>>37440554
>>37439999
So, you go like this:
e^-x=x -> 1=x/(e^-x)
1=xe^(xLn(e))
1=xe^x <-> w(1)=x (because of the definition x=ye^y <-> y=w(x) )

>>37440797
>>37440823
This is so strange. It looks simple but I never learned it in either calculus or differential equations. What kind of course is this from?

>>37441013
Pre calculus originally. Taking it over the summer to brush up for calc

>>37440823
tfw too fucking retarded to understand math
I wish I was smart

File: frog it's not even christmas.png (245KB, 550x366px)

245KB, 550x366px

>>37441099
fugg

I need to go back to school

>>37439960
lol fucking nerd gtfo

File: Screenshot_2016-12-25-10-21-16~2.png (175KB, 480x485px)

175KB, 480x485px

>>37439960
>mfw i realized i should have stayed in school.