what am i doing wrong here ?
Let "picture" Use your calculator to find F″(1)

- anonymous

what am i doing wrong here ?
Let "picture" Use your calculator to find F″(1)

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- anonymous

##### 1 Attachment

- anonymous

im getting 2

- anonymous

but these are my only answer choices
12
6
4
1/9

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## More answers

- anonymous

F'(x) = ln(9x^2)
F"(x) = 2/x
F"(1) = 2
what am i doing wrong?

- anonymous

@abb0t @freckles @UsukiDoll

- UsukiDoll

~_O uhhhhh.. integration is always anti-derivatives no matter what... something is off.

- anonymous

do you hink the answer choices are somehow wrong?

- UsukiDoll

ah... try taking the anti-derivative.... then f(b)-f(a) which is f(3x)- f(1) and then evaluate when x = 1?!?!?!!?!?!!!!!!!!!!!!!!!!!!!!!!!!!!
this is one strange question

- UsukiDoll

because whenever I see the integral sign... it's always antiderivative.

- UsukiDoll

@ganeshie8 any ideas? O_o

- anonymous

hey @Astrophysics while i have you here can you give me the link to the cool openstudy extension i managed to lose the question where you provided the links :/

- Astrophysics

Hey sorry I was away, yeah sure just send me a message of what exactly you want.
since F'(x) = f(x) we have\[F'(x) = \int\limits_{1}^{3x} \ln(t^2) dt\]
\[F'(x) = \ln(9x^2) - \ln(1)\]
F''(x) = f'(x) \[F''(x) = \frac{ 2 }{ x }\]
\[F''(1) = 2\] so this is what you did?

- anonymous

yes

- Astrophysics

Mhm that seems right to me haha.

- UsukiDoll

so somehow the answer choices and whatever you guys did don't match... :/ ~_O! either wrong problem screenshot or wrong answer choices?!!!!!

- Astrophysics

\[\frac{ d }{ dx } \int\limits_{1}^{3x} \ln(t^2) dt = \ln(3x)\] see it basically just cancels out the integral you get what you initially started with, but I don't really trust this integral itself...

- UsukiDoll

I got the solution.. *grabs problems and throws it away*

- Astrophysics

I think there is a reason it asks us to use a calculator :P

- Astrophysics

the ln(1) = 0

- anonymous

yeah I was thinking that but it truly no longer matters i submitted the answer as 4 and got it wrong , no worries though ill just ask my professor how to do it and see what happens.

- UsukiDoll

uh huh ln 1 is 0...
the way the question is written is odd...too strange for me :P

- UsukiDoll

fundamental theorem of calculus? eh forget it........ <_<

- Astrophysics

Ah wait let me see...F'(x) = f(x) \[F'(x) = \int\limits_{0}^{3x} \ln(t^2) dt = \ln(9x^2)-\ln(1) \]
\[F'(x) = \ln(9x^2) \times (3x)' = 3\ln(9x^2) \] I found the mistake...we're suppose to take the derivative of 3x as well..totally missed that part...ok so we have now
F''(x) = f'(x)
\[F''(x) = \frac{ 6 }{ x } \implies f''(1)= 6\]

- Astrophysics

F''(1) = 6*

- Astrophysics

Fundamental theorem of calculus..bleh

- anonymous

AAARRRRGGGGHHHH

- UsukiDoll

wait wtf so when I said Fundamental theorem of Calculus, we got wtf we need?

- Astrophysics

Yeah haha...can you submit your answer again, does it show the right one?

- UsukiDoll

da phuc?

- Astrophysics

haha

- anonymous

no -_- but it is clearly 6

- anonymous

damn it all to hell D:

- UsukiDoll

ffffffffffuuuuuuxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

- anonymous

ugh oh well , got a B either way

- Astrophysics

I apologize for the late reply, sorry @Jdosio :\

- anonymous

its okay, thats what i get when i don't wait for you :(

- UsukiDoll

ah I see how FTC part 1 would work... but damn too late...

- Astrophysics

Yeah haha, I just remembered part 1, it's so silly

- UsukiDoll

then product rule twice... -_- CURSESSSSSSSSSSSSSSSSSSSSSS

- anonymous

thanks for sticking around so long either way :)

- UsukiDoll

the variable on f(b) I remember using FTC part 1 all the time on that one... you have to substitute it into the equation (that ln t^2) and then take the derivative of 3x as well

- Astrophysics

Yup

- Astrophysics

You have to use the chain rule pretty much...it's weird.

- UsukiDoll

phuc.. it was my slow thinking -_-

- Astrophysics

Maybe you can get your mark back, just show the work I guess

- Astrophysics

To your professor

- anonymous

its fine its just one question,

- Astrophysics

Well you won't forget next time either, as I like to say...the struggle is more important than the final answer :)

- UsukiDoll

|dw:1438769488029:dw|
|dw:1438769540072:dw||dw:1438769592473:dw|

- UsukiDoll

*shoots question*

- Astrophysics

Haha

- UsukiDoll

the problem is that FTC 1 is rarely mentioned so there's not a whole lot of practice problems.

- UsukiDoll

everyone uses f(b)-f(a) part 2

- Astrophysics

I don't think I've used it since calc 1...I only used it once maybe?

- Astrophysics

part 2 <3

- UsukiDoll

ftc 1 is in calc i and only in calc i where as ftc 2 is in calc ii and again in calc iv

- anonymous

what are you taking now @Astrophysics

- Astrophysics

I'm going to take ODE :)

- UsukiDoll

ODEs are fun...

- Astrophysics

I've taken all the calc courses already, vector calc was ew >.<

- Astrophysics

But also fun sometimes haha

- Astrophysics

Towards the end is where I got lost, as we did not have enough time...like I still don't understand Stoke's theorem very well, but don't worry about that stuff right now haha.

- UsukiDoll

I'm taking Discrete Math this semester to improve my proof writing techniques.

- Astrophysics

Yeah, that would be a good idea

- UsukiDoll

gawd I hate proofs... if they are hard >:(

- anonymous

i really want to take tensor calc, theirs so much of general relativity that is jiberish without it :/

- Astrophysics

I think it also involves graph theory, from what I've heard is super easy

- Astrophysics

Yeah haha, I'm actually just taking the math courses that will benefit me in physics right now, al though I would love to take as many math courses I like xD, I'll probably end up doing a lot of them myself after I graduate..

- UsukiDoll

already got 22 credits worth of upper division math XD.

- UsukiDoll

which exceeds the BA requirements... BS I think is 39 credits

- Astrophysics

How many credits per course?

- Astrophysics

Here it's 3

- UsukiDoll

3 credits usually, but one of them was 4

- anonymous

ugh all of that sounds so cool!!! i cant wait to get out of high school -_-

- Astrophysics

Ahh you're doing this in high school?! I was a total idiot during high school, actually I still am xD

- UsukiDoll

but be prepared for those dumb general ed requirements. nugh

- UsukiDoll

I'm doing better in university since I'm taking nothing but maths XD ... and some other requirements that aren't too bad

- Astrophysics

Lol I hate the core courses, made me take 2 english courses >:( haha.

- UsukiDoll

yeah I'm like literary analysis isn't going to get you a job mannnnnnnnn!!!!!!!!!

- Astrophysics

Well at least I learnt how to write a research paper, so that's good I suppppppose.

- anonymous

i just want to do some bloody physics !! but nothing makes sense without calc 1 and 2 .... so here i am

- Astrophysics

Lol the physics that requires calculus is annoying at times but very beautiful...

- UsukiDoll

ehhhhhhhh freelance and technical writing is different XD!!!!! Business writing is useful though

- Astrophysics

It can be very tedious

- Astrophysics

Well good luck Jdosio :D, physics and math is awesome, so keep on learning!

- UsukiDoll

I always die in science subjects T_T. math problems... ok... science problems...OMG GET ME OUT OF HERE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

- Astrophysics

Calculus is cool because you can derive a lot of the formulas from it, as in kinetmatics but I could show you how to derive those using just a position time graph as well.

- anonymous

yep, got to admit it can get quite mundane at times but i love it ! :D

- anonymous

what do you plan on doing after you graduate?

- Astrophysics

More studying!!! WOO..haha I haven't thought that far as you can see.

- UsukiDoll

try and get in the MA ...... nothing but pure math ughhhhhh. but an MA in Math is needed to teach at colleges.

- Astrophysics

Hey, do what ever you like/ enjoy!

- UsukiDoll

BA in Math is just teaching in High School
but at least I'm overqualified for elementary/middle lol... my alma mater wants me to come back.. um no.

- anonymous

lol XD

- Astrophysics

Haha, I think I could probably teach a few high school courses as well...chemistry...physics...math maybe

- Astrophysics

Maybe some biology, been a long while since I've done it though xD

- UsukiDoll

I wanna go back to the same high school I graduated in. XD. there's air conditioning in that building.

- UsukiDoll

but I'm trying to aim for teaching at community college/university though.... better benefits.. I think

- Astrophysics

For sure!

- anonymous

i feel like teaching is losing though.... im not sure why i mean objectively it sounds great but i just cant see myself ever teaching and enjoying it.

- Astrophysics

Passing the torch I see, Usuki the great :)))

- UsukiDoll

teaching is frustrating and not easy... I have to admit it. no wonder some professors get irritated.

- Astrophysics

Haha, yeah it can be, but still better than a lot of other jobs, but idk I rather just learn right now and not worry about it xD, go with the flow!

- anonymous

yep, okay well i'm heading to bed , see you guys around :D

- UsukiDoll

yeah...beats minimum wage X-X

- Astrophysics

Take care :)

- UsukiDoll

k night :)

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