Differentiating from first principles?

[Anonymous No.8396152]

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

[Anonymous No.8396171]

>>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

[Anonymous No.8396229]

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.

[Anonymous No.8396242]

you moronic fag how fucking dare you put physics fucking engineering you inbred peace of shit

[Anonymous No.8396245]

>>8396152
>philosophy in shit tier
How does it feel to be a brainlet?

[Anonymous No.8396251]

>>8396229
Because CS is a joke

[Anonymous No.8396263]

>>8396152
>censoring shit

[Anonymous No.8396270]

>>8396263
Why is meche only in top tier?

[Anonymous No.8396274]

>>8396263
Perhaps the chartmaker was hoping to silence the bitching before it began.

[Anonymous No.8396281]

>>8396270
>Computer Science
>Waste of life

Nice meme /sci/, enjoy being a labcuck.

[Anonymous No.8396289]

>>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.

[Anonymous No.8396293]

>>8396152
insultingly retarded and outdated list

[Anonymous No.8396964]

>>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

[Anonymous No.8397080]

>>8396263
>civil and mech only top tier
Why?

[Anonymous No.8397115]

>>8397080
Civil is pretty much shit tier, dunno about mech

[Anonymous No.8397123]

>>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.

[Anonymous No.8397135]

>>8397123
>wanting an easy ass job
>deserving of top/god tier

lmfao dude

[Anonymous No.8397140]

>>8397135
enjoy grinding 60+ hours a week as any other kind of engineer.

[Anonymous No.8397143]

>>8397140
imo engineering as a whole should be in top tier at the highest. Def not god tier.