How can a limit be used to define a derivative? No looking up answers (I can't stop you, but I hope you feel guilty :( )! First correct answer gets medal!

Question

How can a limit be used to define a derivative? No looking up answers (I can't stop you, but I hope you feel guilty >:( )! First correct answer gets medal!

nuttyliaczar · Answer

Watch yourself criminal

superdavesuper · Answer

just keeping the seats warm here *whistle*

nuttyliaczar · Answer

Feel free to try, just make an attempt to sound like you did it yourself this time =P

superdavesuper · Answer

well this one i actually know so there is no need to look up - derivative is defined by limits.

nuttyliaczar · Answer

Yes, and how?

superdavesuper · Answer

u making me to type it out in LaTex, arent u? :P

nuttyliaczar · Answer

Give a quick explanation, I can tell if you know it =P

shamil98 · Answer

$$\lim_{h \rightarrow 0} \frac{ f(x+h) - f(x) }{ h }$$
definition of a derivative i believe

superdavesuper · Answer

Derivative of a function is defined as the change in value of function at x+delta x divided by delta x as delta x approaches the limit of 0.

nuttyliaczar · Answer

Yeah you both got it. But technically shamil got it first by a few seconds ^^

nuttyliaczar · Answer

It's okay, wikipedia is there to aid criminals like you so don't feel bad =P

nuttyliaczar · Answer

I'll give you the medal since shamil has enough lol

shamil98 · Answer

one day i'll get honorary professor

shamil98 · Answer

jk titles are for plebs

nuttyliaczar · Answer

Titles are for the insecure

nuttyliaczar · Answer

Nexxxxt