use the definition of derivative to find f'(x)

- nincompoop

use the definition of derivative to find f'(x)

- chestercat

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- nincompoop

\[f(x)=\sqrt{(x-4)}\]

- myininaya

Do you need help pluggin in or multiply by the the top's conjugate?

- swissgirl

hmmm do you mean
\[ \frac{f(a+h)-f(a)}{(a+h)-a}\]

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## More answers

- nincompoop

that is the definition of derivative @swissgirl
YES :D

- nincompoop

so you're left with \[f'(x)=\frac{ \sqrt }{ h }\]

- swissgirl

\[f'(x)=\frac{ \sqrt{(x+h)-4}-\sqrt{x-4}}{h}\]

- nincompoop

\[f'(x)=\lim_{h \rightarrow 0}\frac{ \sqrt }{ ? }\]

- nincompoop

WTFFFFFF

- shamil98

LOL

- shamil98

That latex fail

- nincompoop

why is not going through?

- shamil98

oh gratz on 90 ss nin

- swissgirl

Just btw my definition is not complete. This is the correct definition
\[ \lim_{h \to 0}\frac{f(a+h)-f(a)}{(a+h)-a}\]

- nincompoop

\[f'(x)=\lim_{h \rightarrow 0} \frac{ \sqrt{(x+h)-4} -(\sqrt{x-4})} { h }\]

- nincompoop

finally!!!!!!!!

- shamil98

f(x) = (x-4)^1/2
\[f'(x)= (\frac{ x-4 }{ 2 })^{\frac{ -1 }{ 2 }}\]

- nincompoop

I didn't want to pick on you, @swissgirl LAUGHING OUT LOUD but yes. without the limit would be the MVT or the mean value theorem

- shamil98

o.o

- nincompoop

no @shamil98 you've changed the entire thing by changing h = 2

- nincompoop

h -> 0

- nincompoop

you must be using a Plutonian Rule

- swissgirl

Ok so basically the next step would be to multiply by the conjugate. Gonna write it out and scan it in cuz it will take me forever to type it in latex

- nincompoop

I tried, omg that thing takes forever using the equation tool bar

- nincompoop

you know at a glance, I thought it is not differentiable because it involves imaginary number and when that is the case, there's no limit with real number, hence no derivatives.

- swissgirl

no there is a derivative just rewriting it.

- swissgirl

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- nincompoop

i know that >.<

- nincompoop

was showing @shamil98

- nincompoop

how'd you scan that so quickly?

- swissgirl

ummm it takes no longer than a half a second to scan

- nincompoop

omg my scanner takes like a light year to scan a page

- swissgirl

I have an issue I cant draw straight lines -_-

- nincompoop

ruler usually solves that problem

- swissgirl

lol thats what I usually hafta us

- nincompoop

it is less of a technology than a scanner

- swissgirl

hahahaha

- nincompoop

@shamil98 yo
review this LAUGHING OUT LOUD so you can skip 2 years of college in math

- swissgirl

Ya I am great at bargaining and I managed to still get warranty coverage after the warranty was over for a year and I complained that the scanning was slow so they sent me a newer model printer which works awesome

- nincompoop

can you send me an extra scanner then?
I want the fujitsu desktop scanner. the brother machine I have is uber slow

- swissgirl

ohhh I kept it and gave it to my bros ato destroy

- nincompoop

bought it for 99 bucks just to have something to scan all my lab and experiment draft crap

- swissgirl

ummm I have hp

- swissgirl

mine was $150 I think

- nincompoop

yo I saw the HP one, it's "touch" technology, but it's bulky and it gets smudgie

- swissgirl

But I gotta scan in all my work every week so it was a necessity

- swissgirl

ya the touch aint bothersome
But have not noticed it smudgy but then again I rarely print I usually scan

- nincompoop

so do you think you can get the fujitsu desktop scanner? although it's not for high-paper scanning, it's fast and very small

- swissgirl

for you or for me???

- swissgirl

Not gonna waste my bargaining skills on you :P

- nincompoop

http://www.fujitsu.com/us/services/computing/peripherals/scanners/scansnap/scansnap-iX500-deluxe-bundle.html

- nincompoop

you're mean ... just mean mean mean cheese

- swissgirl

OMG its expensive -_-

- swissgirl

Totally not on my budget

- nincompoop

it's actually cheaper now. it used to be around 900

- swissgirl

ya still dont excite me

- nincompoop

I've been waiting for that crap to be like 200 bucks so I can buy it, but they kept discontinuing the older models

- swissgirl

Smart guys

- nincompoop

blame the canadians ....

- swissgirl

Did ya hear ma mayor is a crack head :D

- nincompoop

it's fujitfrichinsu, it should be Japan

- nincompoop

your mayor? or the re-elected Christie of NJ?

- nincompoop

wait he's a governor LAUGHING OUT LOUD

- swissgirl

Hey I dont live in NJ remembah

- nincompoop

I would have bashed him for being unhealthy fat slob and use that against him
he neglects his own health and that is why he doesn't care about other people's health, which is the reason why he keeps cutting the university hospital's budgets

- swissgirl

lol ohhh I forgot u live in NJ

- nincompoop

I am a New Yorker... LAUGHING OUT LOUD

- swissgirl

But u do live in NJ or at least at one point u did

- swissgirl

idk I only have one place of residence

- nincompoop

don't you live in like NJ, NY and Canada?

- swissgirl

I visit those places but I only live in canada. I may be coming into NJ in 2 weeks -_-

- nincompoop

laughing out loud

- swissgirl

Its not funny!!! idk i may just stay at home alone. Seriously dont wanna head out there

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