[Boards: 3 / a / aco / adv / an / asp / b / bant / biz / c / can / cgl / ck / cm / co / cock / d / diy / e / fa / fap / fit / fitlit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mlpol / mo / mtv / mu / n / news / o / out / outsoc / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / spa / t / tg / toy / trash / trv / tv / u / v / vg / vint / vip / vp / vr / w / wg / wsg / wsr / x / y ] [Search | Free Show | Home]

ITT: Math tricks and shortcuts You can quickly find the derivative

This is a blue board which means that it's for everybody (Safe For Work content only). If you see any adult content, please report it.

Thread replies: 19
Thread images: 3

File: 1489669173942.jpg (105KB, 990x1400px) Image search: [Google]
1489669173942.jpg
105KB, 990x1400px
ITT: Math tricks and shortcuts

You can quickly find the derivative of any power function by adding 1 to the exponent then multiplying the term by the new exponent. For example:
f(x) = 5x^4
f'(x) = (5)(5)x^(4+1)
f'(x) = 25x^5

Sure shaves a lot of time off of differentiating big polynomials and polynoginals.
>>
Seems risky. Does it work every time?
>>
>>8929704
so you are really just multiplying f(x) by the term (5x) in this case?
>>
>>8929704
but that derivative is wrong brainlet
>>
>>8929708
Technically you can factor the constant out of the derivative and distribute it back in later, but in this case it's unnecessary because of order of operations. See "constant multiple rule"
>>
OP check your math...
>>
ITT: OP CAN'T INTO DERIVATIVES... FFS
>>
That bait is sooo hectic bro!

I fully raged! (and saged)
>>
>>8929704
What the fuck?
I feel like this is intentional.
>>
You cannot fail if you don't even try in the first place.
>>
>>8929722
Faggot check your dubs.
>>
>>8929706

f(x) = 7x^3
f(x) = (4)(7)x^(3+1)
f(x) = 28x^4


this will really help me with polys
>>
Jesus Christ I hope you're a troll and not this much of a retarded faggot.
>>
>>8929704
I like this trick a lot. Here's my trick for integrating power functions:

You subtract 1 from the exponent and then divide by the coefficient by the old exponent.

f(x) = 5x^4
F(x) = (5/ 4)(x^4-1)
F(x) = (5/4)x^3
>>
I have a cool trick for differentiating exponential functions

Let's say you have a function b^x
The derivative is always b^x log x.
Works every time and sure beats trying to take the difference quotient of that mess.
>>
>>8929763
Except no, that's the wrong derivative.
>>
File: 1389999815401.jpg (78KB, 637x476px) Image search: [Google]
1389999815401.jpg
78KB, 637x476px
>>
File: 1491364438361.png (120KB, 296x288px) Image search: [Google]
1491364438361.png
120KB, 296x288px
>>8929713
>>8929722
>>8929730
>>8929815
>being baited this easily
>>
>>8929760

F(x) = 7x^3
F(x) = (7/3)(x^3-1)
f(x) = (7/3)x^2

wow! I'll be applying this method to predator prey models in no time!
Thread posts: 19
Thread images: 3


[Boards: 3 / a / aco / adv / an / asp / b / bant / biz / c / can / cgl / ck / cm / co / cock / d / diy / e / fa / fap / fit / fitlit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mlpol / mo / mtv / mu / n / news / o / out / outsoc / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / spa / t / tg / toy / trash / trv / tv / u / v / vg / vint / vip / vp / vr / w / wg / wsg / wsr / x / y] [Search | Top | Home]

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible.
Read more on this topic here - https://archived.moe/talk/thread/1694/


If you need a post removed click on it's [Report] button and follow the instruction.
DMCA Content Takedown via dmca.com
All images are hosted on imgur.com.
If you like this website please support us by donating with Bitcoins at 16mKtbZiwW52BLkibtCr8jUg2KVUMTxVQ5
All trademarks and copyrights on this page are owned by their respective parties.
Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.
This is a 4chan archive - all of the content originated from that site.
This means that RandomArchive shows their content, archived.
If you need information for a Poster - contact them.