Question

last one :)

Answer 1

last one of the night:)

Answer 2

@jim_thompson5910 hello there, do you know how to do this one?:)

Answer 3

@satellite73

Answer 4

:(

Answer 5

hmm definitely a pain because there are many instances of the chain rule being used here

still doable though

Answer 6

were you able to get anywhere with this one?

Answer 7

not at all, i don't know how two start it....

Answer 8

but its fine i have a 93% and thats like my lowest grade, so i should be good:)

Answer 9

no we can get it done

Answer 10

you sure? sounds like its going to be a pain!!

Answer 11

ok we have this function

\[\Large f(x) = \sqrt{7 + \sqrt{8+\sqrt{x}}}\]

Answer 12

yeah I'm sure

Answer 13

let's make

\[\Large g(x) = \sqrt{8+\sqrt{x}}\]

Answer 14

thank you:)

Answer 15

and we'll also let

\[\Large h(x) = \sqrt{x}\]

Answer 16

okay!

Answer 17

so what we have, in a simplified sense is this

\[\Large f(x) = \sqrt{7 + g(x)}\]

where

\[\Large g(x) = \sqrt{8+\sqrt{x}}\]

Answer 18

that looks way nicer, okay & from then :)

Answer 19

taking the derivative of both sides, and using the chain rule gives us

\[\Large f(x) = \sqrt{7 + g(x)}\]

\[\Large f^{\prime}(x) = \frac{1}{2\sqrt{7 + g(x)}}*g^{\prime}(x)\]

Answer 20

so we'll need to find the derivative of g(x)

and as we go deeper and deeper into this function, we will need the derivative of h(x) as well

Answer 21

ahhhhh i don't like this at all lol but okay, okay!!!

Answer 22

\[\Large g(x) = \sqrt{8+h(x)}\]

\[\Large g^{\prime}(x) = \frac{1}{2\sqrt{8+h(x)}}*h^{\prime}(x)\]

Answer 23

i clearly see how you are getting the derivatives now :)
i get some wrong, but I'm getting there

Answer 24

what is h ' (x) ?

Answer 25

1/2x

Answer 26

not quite

Answer 27

-^1/2 because of the sqr

Answer 28

oh ok

Answer 29

good

Answer 30

to the -1/2 power

Answer 31

yes!:)

Answer 32

that derivative was easy thats why lol

Answer 33

so

\[\Large g(x) = \sqrt{8+h(x)}\]

\[\Large g^{\prime}(x) = \frac{1}{2\sqrt{8+h(x)}}*h^{\prime}(x)\]

\[\Large g^{\prime}(x) = \frac{1}{2\sqrt{8+h(x)}}*\frac{1}{2\sqrt{x}}\]

Answer 34

with me so far?

Answer 35

okay yes!

Answer 36

wait one question!

Answer 37

no nevermine i see it

Answer 38

you sure?

Answer 39

yes:)

Answer 40

i did some studying last night, I'm following :)

Answer 41

\[\large f^{\prime}(x) = \frac{1}{2\sqrt{7 + g(x)}}*g^{\prime}(x)\]

\[\large f^{\prime}(x) = \frac{1}{2\sqrt{7 + g(x)}}*\frac{1}{2\sqrt{8+h(x)}}*\frac{1}{2\sqrt{x}}\]

and you can see that this is rather ugly even when we've made the substitutions for g(x) and h(x)

Answer 42

okay yes, i wouldn't be ready to approach this problem bymyself....

Answer 43

but let's finish this off

\[\large f^{\prime}(x) = \frac{1}{2\sqrt{7 + g(x)}}*\frac{1}{2\sqrt{8+h(x)}}*\frac{1}{2\sqrt{x}}\]

\[\large f^{\prime}(x) = \frac{1}{2\sqrt{7 + \sqrt{8+\sqrt{x}}}}*\frac{1}{2\sqrt{8+\sqrt{x}}}*\frac{1}{2\sqrt{x}}\]

and that should do it in terms of finding the derivative, but you could probably rewrite/rearrange a few terms

Answer 44

okay, yes sounds good to me!! Thank you so much again for all your help!!!

Answer 45

let's hope the system accepts it. We both know how picky it is

Answer 46

yes thats the only thing that sucks:( let me try it

Answer 47

guess what:)

Answer 48

yay it worked. I was fearing it was gonna reject it or something

Answer 49

no, you're an amazing math tutor, you and web assign are like best friends!

Answer 50

yeayy:) you're seriously the best, both you and @satellite73 help me a lot!!! Hope to one day be able to help as much as you guys help me:)

Answer 51

you're welcome and I'm sure you'll be able to help either one of us with topics we don't know (maybe in chem or something, I'm horrible with that lol)

Answer 52

i'll be more than glad to help you in Chem!! :D i love it, i even have a periodic shirt that i wear when i feel like a genius in my lab/work lol

Answer 53

when will you be taking a chem class? & which one? i haven't taken Biochemistry, thats the last chemistry i need! but i'll be taking it in 2 semesters

Answer 54

so it sounds like you're a chem major? or you've taken a lot of chem classes?

Answer 55

Probably next semester, but not sure yet

Answer 56

yep.... Molecular & Cellular Biochemistry major lol I also love Biology, thats my other job, i tutor at a community college for biology, microbiology & micro & disease

Answer 57

so if you ever need science help let me know, i'll give you my email so when I'm not logged on into "open study" i'll still be available!:)

Answer 58

very impressive, all of that is in very high demand these days, so it's definitely a smart path to take

Answer 59

not as impressive as your math skills! You know everything!

Answer 60

I wish lol

Answer 61

but thanks

Answer 62

no, I'm serious!! You really are impressive! well at least to me if you don't believe it lol

Answer 63

random question: it says "watch it" on your hw problem

http://assets.openstudy.com/updates/attachments/5420f239e4b0389f936ce787-liz_mustang-1411445331234-screenshot20140922at10.06.21pm.png

and I wonder if they show you step by step how to solve? or is it a similar example?

Answer 64

thanks, I appreciate the compliment

Answer 65

my laptop won't open any pop ups actually so i couldn't tell you lol, i can try it tomorrow my schools computerl!

Answer 66

or adobe flashback something

Answer 67

when i click it

Answer 68

i see, my guess is that it's a similar problem

unless you somehow connect with a tutor on the site

Answer 69

i will actually try it tomorrow, how does web assign work does it have it's own tutors?

Answer 70

I'm not sure. I've never worked with it

Answer 71

this comes out every time i try it

Answer 72

possibly a missing plugin?

Answer 73

definitely odd and frustrating, but oh well

Answer 74

i've tried that too... lol i'll see if it does that with the school computers i'll leave it, but if it works i'll hunt my laptop down until it works lol

Answer 75

that sounds like a good set of plans

Answer 76

Goodnight, thank you for your help!!, i will be going to bed now, i have class at 7:00 am:(

Answer 77

hope you have a nice day at school tomorrow!! study hard, oh wait you don't need to study you know it ALL :) lol

Answer 78

lol thanks and good night. That sucks on the early class, but you'll make it through