Member of the Month

PartyBullshiit
March, 2024

Online

Welcome to the Newschoolers forums! You may read the forums as a guest, however you must be a registered member to post. Register to become a member today!

How to solve this to find the derivative

profile picture
Noss.
Posts: 4059 - Karma: 149
Click for larger imageHOWWWWWWWWWWW


Dec 13 2010 10:18PM
0 0
profile picture
Tonetti.
Posts: 733 - Karma: 1,311
do the derivative of the outside and leave the parentheses the same times the derivative of the tan and leave whats in the parentheses the same (you dont have to worry about the x^1/2) then times this by the derivative of whats in the final parentheses... i think thats how you do it... god i hate calc..
Dec 13 2010 10:21PM
0 0
profile picture
SteezyasPie
Posts: 1160 - Karma: 15
I would say use chain rule twice.
Dec 13 2010 10:24PM
0 0
profile picture
Tonetti.
Posts: 733 - Karma: 1,311
thats what i tried to explain haha i dont know if it worked very well
Dec 13 2010 10:25PM
0 0
profile picture
DERS.
Posts: 6299 - Karma: 1,293
what you need to do is product rule it 1d2+2d1 of the root x and the tan^3(x^1/2)
and chain rule the tan^3(x^1/2)

it will look ugly at first but it usually simplifies nicely
Dec 13 2010 10:31PM
0 0
profile picture
DERS.
Posts: 6299 - Karma: 1,293
dub post but
just to clarify

(root x)( the derivative of tan^3(x^1/2) *hint chain rule) + (tan^3(x^1/2)) (x^-1/2 *derivative of the first part)
Dec 13 2010 10:34PM
0 0
profile picture
Rbamf
Posts: 792 - Karma: 15
fuckin amazing that i actually passed calculus back in the day.  my advice is to go ski... cause somehow you'll pass, and then one day you'll be looking at ns and see some calc question, and be like holy shit wat the hell is dat yo
Dec 13 2010 10:35PM
0 0
profile picture
Sklar
Posts: 8863 - Karma: 31,577
yea, product and chain rule, so rootx(3tan^2(rootx)(1/2rootx))+tan^3(rootx)(1/2rootx)
Dec 13 2010 10:36PM
0 0
profile picture
soulskier
Posts: 17805 - Karma: 3,821
haha, basically my thought, but you have a much better way with words
Dec 13 2010 10:37PM
0 0
profile picture
Sklar
Posts: 8863 - Karma: 31,577
so 1st(derivative of 2nd)(you need to chain rule it))+2nd(derivative of 1st)
Dec 13 2010 10:38PM
0 0
profile picture
Noss.
Posts: 4059 - Karma: 149
so what would the answer be?

thanks for the help so far
Dec 13 2010 10:38PM
0 0
profile picture
max...
Posts: 1379 - Karma: 801
chain rule the trig function combined with the product rule. also you have girl handwriting
Dec 13 2010 10:38PM
0 0
profile picture
Sklar
Posts: 8863 - Karma: 31,577
said it in my 1st post, i didn't try and simplify though
Dec 13 2010 10:40PM
0 0
profile picture
Noss.
Posts: 4059 - Karma: 149
lol it was a screenshot of a girls work, i am trying to help her
Dec 13 2010 10:41PM
0 0
profile picture
FoxtrotSport
Posts: 162 - Karma: 23
www.wolframalpha.com
Dec 13 2010 10:42PM
0 0
profile picture
NW_Rider
Posts: 2580 - Karma: 314
Click for larger image
Dec 13 2010 10:43PM
0 0
profile picture
soulskier
Posts: 17805 - Karma: 3,821
oooooh, the old math tutor trick eh?
Dec 13 2010 10:44PM
0 0
profile picture
Noss.
Posts: 4059 - Karma: 149
mmhmmmm;)
Dec 13 2010 10:45PM
0 0
profile picture
Gingeski
Posts: 100 - Karma: 16
This could possibly be simplified further, but I got (root x)[3(tan^2(root x))(sec^2(root x))] + [(tan^3(root x))/(2(root x))]
Dec 13 2010 11:27PM
0 0
profile picture
TheDude
Posts: 2058 - Karma: 117
Back to the kitchen where I belong
Dec 14 2010 1:37AM
0 0
profile picture
chardi
Posts: 5040 - Karma: 59
oh hay duffgirl...
Dec 14 2010 1:46AM
0 0
profile picture
no_steeze
Posts: 23992 - Karma: 4,270
use the product rule twice

f prime x g + g prime x f for the inside and then multiply that by x^1/2 using the same method
Dec 14 2010 1:47AM
0 0
profile picture
p-fo
Posts: 9372 - Karma: 6,155
HOLY DICKS thats a bitch of a chain rule. just break it down and write it all out. always works for me when it seems ridiculously impossible. thats gonna take up a page though... damn!
Dec 14 2010 1:49AM
0 0
profile picture
RubberSoul
Posts: 11249 - Karma: 14,642
hahaha seriously
Dec 14 2010 1:49AM
0 0
profile picture
HermioneGranger
Posts: 1933 - Karma: 101
You speak the truth.
Dec 14 2010 2:46AM
0 0
profile picture
no_steeze
Posts: 23992 - Karma: 4,270
if that's confusing, then it's simply

(derivative of f)(g(x))+(derivative of g)(f(x))

then do that twice, once for the inside and once for the outside
Dec 14 2010 9:26AM
0 0
All times are Eastern (-4)