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Differentiating from first principles?

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Thread replies: 19
Thread images: 3

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Sup /sci/, can someone help me differentiate from first principles the function g(x) = 1/1-x^2?
Having a little trouble with it. Pic semi-related
>>
>>8396152
g(x) = 1/1-x^2 =1 - x^2
g(x+h)-g(x) = 1- (x+h)^2 - 1 + x^2 = -2xh-h^2
[g(x+h)-g(x)]/ h = -2x - h
let h be infinitesimal
g'(x)= -2x
>>
why the fuck is computer science lower than law and statistics, and on the same tier as fucking life science? Everyone who makes those stupid charts is retarded.
>>
you moronic fag how fucking dare you put physics fucking engineering you inbred peace of shit
>>
>>8396152
>philosophy in shit tier
How does it feel to be a brainlet?
>>
>>8396229
Because CS is a joke
>>
File: 2ab79cb39d985c263538374306ab9c3a.png (289KB, 1072x1036px) Image search: [Google]
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>>8396152
>censoring shit
>>
>>8396263
Why is meche only in top tier?
>>
>>8396263
Perhaps the chartmaker was hoping to silence the bitching before it began.
>>
>>8396270
>Computer Science
>Waste of life

Nice meme /sci/, enjoy being a labcuck.
>>
>>8396281
But cs IS waste of life tier. It's spending 4 years of your life with spergs and other autists while others are out partying and enjoying women. And then getting your jobs stolen by rajeet.
>>
>>8396152
insultingly retarded and outdated list
>>
>>8396171
Assuming you mean g(x) = 1/(1-x^2) then

g(x+h)-g(x) = 1/(1-(x+h)^2) - 1/(1-x^2)
Find the common denominator

(1-x^2-1+x^2+2xh+h^2)/[(1/(1-(x+h)^2))(1/(1-x^2))]

simplify and divide by h

[g(x+h)-g(x)]/h = [h(h+2x)]/[h(1/(1-(x+h)^2))(1/(1-x^2))] = (h+2x)/[(1/(1-(x+h)^2))(1/(1-x^2))]

let h->0
lim h->0 [g(x+h)-g(x)]/h = 2x/(1-x^2)^2

We can check this by using the chain rule

d/dx 1/(1-x^2) = d/dx (1-x^2)^-1 = -1*-2x*(1-x^2)^-2 = 2x/(1-x^2)^2
>>
File: 1468613786514.gif (2MB, 360x270px) Image search: [Google]
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>>8396263
>civil and mech only top tier
Why?
>>
>>8397080
Civil is pretty much shit tier, dunno about mech
>>
>>8397115
>Civil is pretty much shit tier
Civil is comfy as fuck m8. if you want an easy ass job, Civil is where its at.
>>
>>8397123
>wanting an easy ass job
>deserving of top/god tier

lmfao dude
>>
>>8397135
enjoy grinding 60+ hours a week as any other kind of engineer.
>>
>>8397140
imo engineering as a whole should be in top tier at the highest. Def not god tier.
Thread posts: 19
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