Math

[TevashSzat]

Well, let's say you wanted to differentiate f (x) =(2X+1)^5 without using any of the easy and straight forward rules.


It should go like this

ΔY = (2(ΔX+X)+1)^5 -(2X+1)^5

f ' (x) =

lim (ΔY/ΔX)
ΔX --> 0


have fun.



hint: it'll take some time.

Bah!, Definition of a derivative is easy to do, definition of an integral is hard

limit Σ[i=1->n] f(ci)Δx
(n->oo)

where xi-1≤ci≤xi