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

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

Mathematics
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im getting 2
but these are my only answer choices 12 6 4 1/9

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F'(x) = ln(9x^2) F"(x) = 2/x F"(1) = 2 what am i doing wrong?
~_O uhhhhh.. integration is always anti-derivatives no matter what... something is off.
do you hink the answer choices are somehow wrong?
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
because whenever I see the integral sign... it's always antiderivative.
@ganeshie8 any ideas? O_o
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 :/
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?
yes
Mhm that seems right to me haha.
so somehow the answer choices and whatever you guys did don't match... :/ ~_O! either wrong problem screenshot or wrong answer choices?!!!!!
\[\frac{ d }{ dx } \int\limits_{1}^{3x} \ln(t^2) dt = \ln(3x)\] see it basically just cancels out the integral you get what you initially started with, but I don't really trust this integral itself...
I got the solution.. *grabs problems and throws it away*
I think there is a reason it asks us to use a calculator :P
the ln(1) = 0
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.
uh huh ln 1 is 0... the way the question is written is odd...too strange for me :P
fundamental theorem of calculus? eh forget it........ <_<
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) \[F''(x) = \frac{ 6 }{ x } \implies f''(1)= 6\]
F''(1) = 6*
Fundamental theorem of calculus..bleh
AAARRRRGGGGHHHH
wait wtf so when I said Fundamental theorem of Calculus, we got wtf we need?
Yeah haha...can you submit your answer again, does it show the right one?
da phuc?
haha
no -_- but it is clearly 6
damn it all to hell D:
ffffffffffuuuuuuxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
ugh oh well , got a B either way
I apologize for the late reply, sorry @Jdosio :\
its okay, thats what i get when i don't wait for you :(
ah I see how FTC part 1 would work... but damn too late...
Yeah haha, I just remembered part 1, it's so silly
then product rule twice... -_- CURSESSSSSSSSSSSSSSSSSSSSSS
thanks for sticking around so long either way :)
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
Yup
You have to use the chain rule pretty much...it's weird.
phuc.. it was my slow thinking -_-
Maybe you can get your mark back, just show the work I guess
To your professor
its fine its just one question,
Well you won't forget next time either, as I like to say...the struggle is more important than the final answer :)
|dw:1438769488029:dw| |dw:1438769540072:dw||dw:1438769592473:dw|
*shoots question*
Haha
the problem is that FTC 1 is rarely mentioned so there's not a whole lot of practice problems.
everyone uses f(b)-f(a) part 2
I don't think I've used it since calc 1...I only used it once maybe?
part 2 <3
ftc 1 is in calc i and only in calc i where as ftc 2 is in calc ii and again in calc iv
what are you taking now @Astrophysics
I'm going to take ODE :)
ODEs are fun...
I've taken all the calc courses already, vector calc was ew >.<
But also fun sometimes haha
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.
I'm taking Discrete Math this semester to improve my proof writing techniques.
Yeah, that would be a good idea
gawd I hate proofs... if they are hard >:(
i really want to take tensor calc, theirs so much of general relativity that is jiberish without it :/
I think it also involves graph theory, from what I've heard is super easy
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..
already got 22 credits worth of upper division math XD.
which exceeds the BA requirements... BS I think is 39 credits
How many credits per course?
Here it's 3
3 credits usually, but one of them was 4
ugh all of that sounds so cool!!! i cant wait to get out of high school -_-
Ahh you're doing this in high school?! I was a total idiot during high school, actually I still am xD
but be prepared for those dumb general ed requirements. nugh
I'm doing better in university since I'm taking nothing but maths XD ... and some other requirements that aren't too bad
Lol I hate the core courses, made me take 2 english courses >:( haha.
yeah I'm like literary analysis isn't going to get you a job mannnnnnnnn!!!!!!!!!
Well at least I learnt how to write a research paper, so that's good I suppppppose.
i just want to do some bloody physics !! but nothing makes sense without calc 1 and 2 .... so here i am
Lol the physics that requires calculus is annoying at times but very beautiful...
ehhhhhhhh freelance and technical writing is different XD!!!!! Business writing is useful though
It can be very tedious
Well good luck Jdosio :D, physics and math is awesome, so keep on learning!
I always die in science subjects T_T. math problems... ok... science problems...OMG GET ME OUT OF HERE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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.
yep, got to admit it can get quite mundane at times but i love it ! :D
what do you plan on doing after you graduate?
More studying!!! WOO..haha I haven't thought that far as you can see.
try and get in the MA ...... nothing but pure math ughhhhhh. but an MA in Math is needed to teach at colleges.
Hey, do what ever you like/ enjoy!
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.
lol XD
Haha, I think I could probably teach a few high school courses as well...chemistry...physics...math maybe
Maybe some biology, been a long while since I've done it though xD
I wanna go back to the same high school I graduated in. XD. there's air conditioning in that building.
but I'm trying to aim for teaching at community college/university though.... better benefits.. I think
For sure!
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.
Passing the torch I see, Usuki the great :)))
teaching is frustrating and not easy... I have to admit it. no wonder some professors get irritated.
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!
yep, okay well i'm heading to bed , see you guys around :D
yeah...beats minimum wage X-X
Take care :)
k night :)

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