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Mathematics 17 Online
OpenStudy (amistre64):

i gotta write up a bunch of derivatives for "homework"; is there a place that i can latex it up and it spits out the text to print it?

OpenStudy (anonymous):

write the basic derivatives like d/dx (sin x) = cos x

OpenStudy (amistre64):

\[y=cos(tan(x))\]\[y' = -sin(tan(x))sec^2(x)\]

OpenStudy (anonymous):

Latexlab

OpenStudy (anonymous):

not sure what you mean. if you write the latex your editor will convert to pdf right?

OpenStudy (anonymous):

http://docs.latexlab.org/

OpenStudy (anonymous):

\sin gets rid of the italics

OpenStudy (anonymous):

I think I misunderstood.

OpenStudy (anonymous):

i that is kind of cool. web based editor using google docs?

OpenStudy (anonymous):

Yup, not bad either...

OpenStudy (amistre64):

lol ... just write the basic derivatives ... i almost wet myself on that one

OpenStudy (anonymous):

and you want to print them out right?

OpenStudy (amistre64):

yes, my handwriting is not good for turning in math homework :)

OpenStudy (amistre64):

i could have written that up as begin{align} i think and forgone most of thos y's

OpenStudy (anonymous):

OpenStudy (anonymous):

ah How did you do that estudier

OpenStudy (anonymous):

In my Firefox, if right click, as well as show source u can choose format MathML and copy that instead.

OpenStudy (anonymous):

I can do that too

OpenStudy (anonymous):

OpenStudy (anonymous):

That's how I did, copy and paste into blank file with .html extension

OpenStudy (anonymous):

okay Got it. Thank You estudier

OpenStudy (anonymous):

@amistre why not just use latex editor?

OpenStudy (anonymous):

That's the other way, probably quicker than taking from here..

OpenStudy (anonymous):

and @ estudier, this doesn't seem to like $ command for in line math. that is what i use. is there another way?

OpenStudy (anonymous):

Which?

OpenStudy (anonymous):

OpenStudy (anonymous):

the google docs

OpenStudy (anonymous):

hehe It worked

OpenStudy (anonymous):

U can set it up to compile with your distribution...

OpenStudy (anonymous):

Compiler..settings

OpenStudy (anonymous):

i am happy with texmaker works quickly and easily and i don't even compile. just go to preview and then have the option to view in "external view" save a copy and voila

OpenStudy (anonymous):

Yes, I think for ur own stuff, on your own pc is fine. Other is better for online storage and sharing....

OpenStudy (anonymous):

Still not exactly clear what Amistre wanted though...

OpenStudy (amistre64):

i want: to be able to type pretty looking equations instead of the: y' = e^x[(x+1)/(x-1)]^2 that ascii produces :)

OpenStudy (amistre64):

OpenStudy (amistre64):

thats the review from your "test.html"

OpenStudy (anonymous):

OK, it is browser problem, math fonts needed. Ishaan and I have Firefox, they are built in.

OpenStudy (anonymous):

type it in to google docs that estudier sent. that is what i did. worked pretty well

OpenStudy (anonymous):

did you see the pdf i sent? it is what you wrote

OpenStudy (amistre64):

the pdf is nice; need to left align in tho

OpenStudy (anonymous):

i just copied what you wrote, compiled and converted to pdf . let me see if i can align left

OpenStudy (amistre64):

i cant recall the align commands at the moment :)

OpenStudy (anonymous):

i usually just use $ but it doesn't seem to work here

OpenStudy (anonymous):

Multiline, gather, align are at that link...

OpenStudy (anonymous):

some of these are not working for me in google doc. if you really want to use latex probably easier to use latexmaker or some other editor

OpenStudy (anonymous):

Try development version (menu at top)

OpenStudy (anonymous):

too hard for me

OpenStudy (anonymous):

i am going to get this for sure

OpenStudy (amistre64):

i figure i can type it out here to preview it, and take it someplace else to form it into a printable version :)

OpenStudy (anonymous):

i got it !

OpenStudy (anonymous):

OpenStudy (anonymous):

not bad but i can't figure out why the first line is not displaying in math mode

OpenStudy (anonymous):

i used the google doc link estudier sent, copied and pasted, compiled, and then viewed in pdf

OpenStudy (anonymous):

btw \tan gets rid of italics

OpenStudy (amistre64):

i like the italics, makes me feel like im writing in cursive ;)

OpenStudy (anonymous):

you want these i will copy and paste them for you

OpenStudy (anonymous):

just put \sin(x) or \tan(x) will get rid of cursive

OpenStudy (amistre64):

yeah, my end goal is to get them into a file that I can print out :) thnx

OpenStudy (amistre64):

i got one more ....

OpenStudy (amistre64):

.... and they all lived happily ever after, the end :)

OpenStudy (anonymous):

OpenStudy (anonymous):

oh i missed the last two hold on

OpenStudy (amistre64):

the aligns didnt match up on the pdf .... my (=)s are all over the place, other than that it looks good, barring the last 2 o course

OpenStudy (amistre64):

i saved it to me desktop but it wont let me edit it to move them over any

OpenStudy (anonymous):

that is because i sent a pdf

OpenStudy (anonymous):

last two are messing up. let me open a new doc and try them

OpenStudy (anonymous):

i can't seem to make the last two work

OpenStudy (amistre64):

if anything that should be all the latex in one fell swoop

OpenStudy (amistre64):

there are a few delimiters that might not show in the "source" for 52 and 56

OpenStudy (amistre64):

ack!! ... i thought id source up as a whole, but its still in pieces :)

OpenStudy (anonymous):

yeah there is something up. let me see if i can figure i tout

OpenStudy (anonymous):

the first batch worked no problem

OpenStudy (amistre64):

\begin{align} 2)\ y&=cos(tan(x))\\ y'&=-sin(tan(x))\ sec^2(x)\\ \\ 4)\ y&=\frac{3x-2}{\sqrt{2x+1}}\\ y'&=(3x-2)'(2x+1)^{-1/2}+(3x-2)(2x+1)'^{-1/2}\\ &=3(2x+1)^{-1/2}\ +\ (3x-2)\frac{-2}{2}(2x+1)^{-3/2}\\ &=(2x+1)^{-3/2}\left(3(2x+1)-(3x-2)\right)\\\\ &=\frac{6x+2-3x+2}{(2x+1)^{3/2}}\\\\ &=\frac{3x+5}{(2x+1)^{3/2}}\\\\\\\\ 6)\ y&=\frac{e^x}{1+x^2}\\\\ y'&=\frac{e^x(1+x^2)-e^x(2x)}{(x^2+1)^2}\\\\ &=\frac{e^x+e^xx^2-e^x2x}{(x^2+1)^2}\\\\ &=e^x\frac{x^2-2x+1}{(x^2+1)^2}\\\\ &=e^x\frac{(x^2-1)^2}{(x^2+1)^2}\\\\ &=e^x\left(\frac{x^2-1}{x^2+1}\right)^2\\\\ 8)\ y&=e^{-t}(t^2-2t+2)\\ y'&=e'^{-t}(t^2-2t+2)+e^{-t}(t^2-2t+2)'\\ &=-e^{-t}(t^2-2t+2)+e^{-t}(2t-2)\\ &=-e^{-t}\left((t^2-2t+2)-(2t-2)\right)\\ &=-e^{-t}(t^2-2t+2-2t+2)\\ &=-e^{-t}(t^2-4t+4)\\ &=-e^{-t}(t-2)^2\\\\\\ 10)\ y&=e^{mx}cos(nx)\\\\ y'&=e'^{mx}cos(nx)+e^{mx}cos'(nx)\\ &=me^{mx}cos(nx)-ne^{mx}sin(nx)\\ &=e^{mx}(m\ cos(nx)-n\ sin(nx))\\\\\\ 14)\ y&=\frac{1}{sin(x-sin(x))}\\\\ &=(sin(x-sin(x))^{-1}\\\\ y'&=-(sin(x-sin(x))^{-2}\ cos(x-sin(x))\ (1-cos(x))\\\\ &=\frac{cos(x-sin(x))\ (1-cos(x))}{-sin^2(x-sin(x))}\\\\ &=\frac{cos(x-sin(x))\ (cos(x)+1)}{sin^2(x-sin(x))}\\\\\\ &=\cot(x-sin(x))\ \ (\cos(x)+1)\ \ \ csc(x-sin(x))\\\\ 16)\ y&=ln(csc(5x))\\\\ y'&=\frac{-5csc(5x)cot(5x)}{csc(5x)}\\\\ &=-5cot(5x)\\\\ 20)\ y&=ln(x^2e^x)\\\\ y'&=\frac{x'^2e^x+x^2e'^x}{x^2e^x}\\\\ &=\frac{2xe^x+x^2e^x}{x^2e^x}\\\\ &=\frac{2x+x^2}{x^2}\\\\ &=\frac{2+x}{x}\\\\ 22)\ y&=sec(1+x^2)\\\\ y'&=2x\ sec(1+x^2)\ tan(1+x^2)\\\\ 26)\ y&=\sqrt{sin(\sqrt{x})}\\\\ y'&=\frac{cos(\sqrt{x})}{2\sqrt{sin(\sqrt{x})}}*\frac{1}{2\sqrt{x}}\\\\\\ &=\frac{cos(\sqrt{x})}{4\sqrt{x\ sin(\sqrt{x})}}\\\\ 32)\ y&=e^{cos(x)}+cos(e^x)\\\\ y'&=-sin(x)\ e^{cos(x)}-e^x\ sin(e^x)\\\\ 44)\ y&=\frac{sin(mx)}{x}\\\\ y'&=\frac{x*sin'(mx)-sin(mx)x'}{x^2}\\\\ &=\frac{mx\ cos(mx)-sin(mx)}{x^2}\\\\ 52)\ &\ g(t)=t\ sin(t)\text{; find }g''(\frac{\pi}{6})\\\\ \\ \ \ \ g(t)&=t\ sin(t)\\\\ g'(t)&=t'sin(t)+t\ sin'(t)\\\\ &=sin(t)+t\ cos(t)\\\\ g''(t)&=sin'(t)+t'\ cos(t)+t\ cos'(t)\\\\ &=cos(t)+cos(t)-t\ sin(t)\\\\ &=2cos(t)-t\ sin(t)\\\\ g''(\frac{\pi}{6})&=2cos(\frac{\pi}{6})-\frac{\pi}{6}\ sin(\frac{\pi}{6})\\\\ &=2(\frac{\sqrt{3}}{2})-\frac{\pi}{6}*\frac{1}{2}\\\\ &=\sqrt{3}-\frac{\pi}{12}\\\\ 58)\ &\text{ Find the equation of the tangent line @ (0,-1).}\\\\ \ \ \ \ \ \ y&=\frac{x^2-1}{x^2+1}\\\\\\ y'&=\frac{2x(x^2+1)-2x(x^2-1)}{(x^2+1)^2}\\\\ &=\frac{2(0)(0^2+1)-2(0)(0^2-1)}{(0^2+1)^2}=0\\\\\\ &\text{The equation of the tangent line @ (0,-1) is:}\ \ y=-1 \end{align}

OpenStudy (amistre64):

thats all on one block now

OpenStudy (anonymous):

let me try that

OpenStudy (anonymous):

That came out ok on a web page..

OpenStudy (amistre64):

its due tomorrow, so no real rush; i gotta go to discrete at the moment; thnx and good luck. I got the textbook in the mail yesterday, again thank you for letting me have it, i really do appreaciate it :)

OpenStudy (anonymous):

everything is good but it is rendering your text in italicx

OpenStudy (amistre64):

might need to amend the texts as what \textff or something?

OpenStudy (anonymous):

i use \text{} which is what you used

OpenStudy (anonymous):

if it was me i would say close enough for government work

OpenStudy (amistre64):

if this shows up, this is what i ended up with. I took a screenshots and saved each question in its own picture file on paint; then inserted the pictures in a MSWord doc, and printed :)

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