>tfw have to calculate taylor series of second order for a function R^3 to R
>>7938083
Are you banned from Wolfram Alpha?
>>7938101
Can't do that in an exam, can you?
>>7938102
>making someone do that in an exam
unless there's like a crazy shortcut for that particular function whoever wrote that exam deserves to be shot .
>>7938102
Hold my beer.
>>7938104
It can come from a simple question such as "find the extrema of the function blabla"
>>7938112
You don't need the Taylor series for that.
>>7938117
you need the jacobian and the hessian.
Anything tensors.
on my 1st year calculus they had a midterm, and we had to do 8th order Taylor series
I think it was on sin(x) or something, not hard, but it was tedious and boring
the sign changes with each term too
>be physicist
>only ever use 1st order (linear) terms of Taylor function for literally every application so far
>>7938120
And that requires a Taylor series?
[spoilers]It doesn't[/spoilers]
>>7938664
Hello freshman
You often use second order derivates to express a certain potential around a minimum, i.e. hooks law
>>7938664
The beauty is that it works.
>Make some retarded oversimplified model of an incredibly complex system
>Makes a great approximation at the very least in certain limits
And there is nothing better than dealing with some disgusting equations, doing a Taylor, and seeing something neat and tidy roll out.
>>7938083
>math nightmares
>hessian matrix
cringe
>>7938707
How bad it is depends on the function really. Enjoy calculating 6 2nd derivatives of something gross on a test for which you have limited time.
I know this is babby tier, but
>doing laplace transforms of complicated functions
I'm annoyed, it's tedious screwing around with euler's identity so it comes out nice and pretty.
>>7938655
Just sin(x)? Don't you have that one memorized by heart?
