/sci/ - Science & Math

Look up L'Hopital's rule.

The answer is 2.

>>4366573
reported for improper use of l'hopital's rule

(USER WAS BANNED FOR THIS POST)

Not required for this problem
lim (((1+h)^2)-1)/h
lim (h^2)/h + 2h/h
lim h+ 2
2

dont need l'hopitals

>>4366592
It's not needed, but it wasn't improper use.

You get 0/0 if you plug in h=0. So l'hopital's rule applies no?

>>4366573
Yes, L'Hopital's rule reduces OP's limit to f'(0) where f(h) = (1+h)^2-1 which is lim_{h->0} [(1+h)^2-1]/h which easily is found to be 2.

How is this calculus? This is basic high school algebra.

Anymore math jokes? That one start to go moot in the 70s.

I remember one that was posted was pretty funny wish I could recall it.

It had to do with some rapper raised to the JZ

>>4366642
>Limits
>Algebra
Nevertheless, I agree that this is simple.

>>4366659
Calculus is just a special algebra.

<span class="math">\lim_{x\to{0}}\frac{f(x+{\Delta}x)-f(x)}{{\Delta}x}[/spoiler]

go to youtube and review by watching limit definition videos of derivatives. you should already know how to take the derivative of something using the simple power rule, so just work backwards if need be. really all this is a review of composite functions and then a plug and chug. good luck on your test.

>>4366592
You're playing with fire with the few mods that police this board.
They don't fuck around.

Thanks to all the contributors in this thread. Here's the next problem:

Find the derivative of the following function:
g(x)=1-x^3

P.S. It's not that I don't understand limits, derivatives, etc., it's that these happen to be the few problems out of the 50 on my practice test that seem to stump me somewhere in my steps to solve it.

>>4366592
the fuck

>>4366723
Just use the power rule.

>>4366592
HAHAHA oh man, that's the funniest ban I've ever seen

>>4366732

The professor wants us to use the limit definition to find the derivative (i.e. no shortcuts) for this particular problem.

>>4366761
That's a good professor then. Write the fucking definition of a derivative and take it from here, you won't learn anything if we do it for you.

>>4366756
totally worth it

coolest mod on 4chan

>>4366779
reported for ban evasion. enjoy your permaban

(USER WAS WARNED FOR THIS POST)

>>4366790
>Your ban was filed on February 14th, 2012 and expired on February 15th, 2012

>>4366793
damn. it's a good thing I never actually report anything.

lol at that guy being banned for 35 mins

thank you for the laugh mod

>>4366653
H raised to the power of the IZZO?