Message from @Daddy

Discord ID: 654568609544142848


2019-12-12 06:18:51 UTC  

So

2019-12-12 06:18:54 UTC  

It’s relatively trivial with l’hopital or even easier use the fact that you’re taking the derivative of an integral

2019-12-12 06:18:59 UTC  

You’ve got all the info you need

2019-12-12 06:19:02 UTC  

Ah lhopital

2019-12-12 06:19:05 UTC  

Sure

2019-12-12 06:19:37 UTC  

Slap it with numerical methods like a chad and call it a day

2019-12-12 06:19:44 UTC  

That’s my strategy always

2019-12-12 06:20:05 UTC  

Yeah I taught my son how to write some python to solve arbitrary math problems last week

2019-12-12 06:20:07 UTC  

hm, i dont know for sure. i guess i would use the second fundamental theorem. and it'd be sqrt{1^5 + 8}

2019-12-12 06:20:20 UTC  

Answer is c

2019-12-12 06:20:28 UTC  

😓

2019-12-12 06:20:32 UTC  

<:towelsweat:552805059042344960>

2019-12-12 06:20:35 UTC  

Using mathematica

2019-12-12 06:20:53 UTC  

Fuguer, what's the answer?

2019-12-12 06:20:56 UTC  

Which is always right

2019-12-12 06:21:24 UTC  

It’s easily C because that really reduces to dF(1)/dx

2019-12-12 06:21:34 UTC  

= f(1)

2019-12-12 06:21:36 UTC  

A derivative is just a limit

2019-12-12 06:21:42 UTC  

All calculus is limits

2019-12-12 06:21:46 UTC  

In fact

2019-12-12 06:21:57 UTC  

So fuguer has the most elegant solution

2019-12-12 06:22:04 UTC  

Easily

2019-12-12 06:22:06 UTC  

Right that definite integral winds up being exactly what you need to make it a dereivative

2019-12-12 06:22:15 UTC  

^mcgee

2019-12-12 06:22:39 UTC  

oh yea that's true. integral from 1 to 1+h could be written as (F(1+h)-F(1))/h = dF/dx(1)

2019-12-12 06:22:52 UTC  

Exactly

2019-12-12 06:22:54 UTC  

There you go

2019-12-12 06:23:08 UTC  

You cracked it without numerical methods

2019-12-12 06:23:15 UTC  

I’m glad daddy checked it in Mathematica tho

2019-12-12 06:23:29 UTC  

now that I think about it it was dumb to try lol

2019-12-12 06:23:30 UTC  

Yeah that’s what’s beautiful you solve the integral without doing it at all lol

2019-12-12 06:23:39 UTC  

It’s zen

2019-12-12 06:23:54 UTC  

My mind is expanded

2019-12-12 06:24:09 UTC  

I would’ve gotten that sophomore year college though I’m guessing

2019-12-12 06:24:23 UTC  

We got malarkey like that all the time

2019-12-12 06:24:30 UTC  

I'd like to learn

2019-12-12 06:24:32 UTC  

more

2019-12-12 06:24:36 UTC  

Yeah this stuff gets harder as you’re less ingrained in all the tricks

2019-12-12 06:24:41 UTC  

but it would only be useful in times like these

2019-12-12 06:24:58 UTC  

Calc is the most useful math

2019-12-12 06:25:01 UTC  

Wrinkly brain discord