#help, how i derivate this? steps

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cosmic igloo
steady marlinBOT
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zenith prawn
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Yooooo dude
You gots to apply ze chain rule 😎🔥🔥
U can say f(x)=(x+x log(x)^(-1)

zenith prawn
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Would that make f’(x) = xlog(x)’

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?

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Man i suck at maths

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Sorry for interrupting

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Nowwwwww we just chain rule this ho
$f'(x)=(-1)(x+x \log {x})^{-2} (1+ (\log(x)+ x\frac{1}{x}))$ simplify disssss and u done

cosmic igloo
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i tried with (f/g)'

zenith prawn
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Oopsie doopsie lemme fix the latex

cosmic igloo
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but it doesnt work:(

zenith prawn
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I was not even close

orchid rootBOT
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beethobeanie

148316567740874753.png
zenith prawn
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There u go broski

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Oh man i really just said -1-1=0

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It should simplify to $-\frac{\log(x)+2}{x^2(1+\log(x))^2}$

orchid rootBOT
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beethobeanie

148316567740874753.png
zenith prawn
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Check what u get brodie

cosmic igloo
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i have some hint and..in fact that is a integral

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that is the solution

image.png
zenith prawn
cosmic igloo
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and f(x) is the first image

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this

zenith prawn
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Heh what you don't need no integrals brodie

zenith prawn
cosmic igloo
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like i need to solve the integral of f'(x)

zenith prawn
zenith prawn
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What do u actually wa t

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Want

zenith prawn
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Ong

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I'll just write that out too 😅

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All this work for nothin 💀

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Nah bro you built different

zenith prawn
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To integrate it my slime just substitute u=log(x)

Then your integral will become int of 1/(u+1) sooo it becomes l
Log(u+1)+c

And finally log(log(x)+1)+c

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Its always questions like these who slap me in the face when doing mathsvtests

zenith prawn
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I've answered 2 already what do you wanna knoe

zenith prawn
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Ur better off asking that question to @cosmic igloo

cosmic igloo
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okay, im sorry

zenith prawn
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Lmaooo make a new thread then

cosmic igloo
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i need to solve this

image.png
zenith prawn
cosmic igloo
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and f(x) is

zenith prawn
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Wait ill type it out homie

cosmic igloo
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thanks you so much

zenith prawn
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Fk it

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Lmao

cosmic igloo
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i have the solution of this but i dont know the steps, maybe it will help..

zenith prawn
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On god i just understand the task myself

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I just realised that integrating the deriative just gives the f(x)

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@zenith prawn you aint even need to find anything troll

cosmic igloo
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no way

zenith prawn
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Deadass

cosmic igloo
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i didnt knwo that, im so dumb😭 srry

zenith prawn
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Like why that worms

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Works*******

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Oh

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Right

cosmic igloo
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guys srry for that, thanks so much for helping

zenith prawn
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Speed is the integral of acceleration

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Yea but that's exact what brodie said
Integration is basically the inverse of derivation

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Similarly like how log is inverse of e they just cancel each other out

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So if you're integrating the derivative of a function u just get back the function !!!

zenith prawn
# cosmic igloo

So it becomes easy to solve just plug in the limit values into the function and subtract and you're done

cosmic igloo
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thank you so much

cosmic igloo
zenith prawn
cosmic igloo
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i didn t know that if you integrate the derivate it gets the function actually

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xd

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thank you again

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+close