Jump to content

DRAGONMOUNT

A WHEEL OF TIME COMMUNITY

Recommended Posts

  • Replies 5.8k
  • Created
  • Last Reply

Top Posters In This Topic

Posted

Yeah, I know! :D

And no I've never done calculus. Though, I don't see the harm in you teaching me something.

So, does the 10001 years old Vampire Pharoah have the patience to teach me?

And btw Kovam, I'm pretty good in maths, and the best in my year, if I do say so myself! ;)

Posted

The squaring function ƒ(x) = x² is differentiable at x = 3, and its derivative there is 6. This result is established by writing the difference quotient as follows:

 

 

 

Ex:  {f(3+h)-f(3)\ h} = {(3+h)^2 - 9\over{h}} = {9 + 6h + h^2 - 9\{h}} = {6h + h^2\{h}} = 6 + h.

 

Oh yes, I'm not a Pharaoh :)

Posted

I'm impressed but there's a couple of things I don't agree with. Please correct me if I'm wrong.

This is what you wrote:

{f(3+h)-f(3)\ h} = {(3+h)^2 - 9\over{h}} = {9 + 6h + h^2 - 9\{h}} = {6h + h^2\{h}} = 6 + h.

Doesn't: 6h + h^2\{h} = 6h + h; which factorises into = h(6+1) = 7h 

 

Also: From {[glow=red,2,300]9[/glow] + 6h + h^2 - 9\{h}}  to {6h + h^2\{h}}, I want to know where the 9 disappears to.

Posted

Can you please write out for me the two terms that will cancel out, as I'm not entirely sure.

Then I'll know where I stand.

Btw are you a maths teacher or something or do you still remember all your maths from you were younger?

Or are vampires generally good at maths?! :D

Posted

Vampires are generally good at everything, although I do better with languages.

 

The last expression shows that the difference quotient equals 6 + h when h is not zero and is undefined when h is zero. (Remember that because of the definition of the difference quotient, the difference quotient is never defined when h is zero.) However, there is a natural way of filling in a value for the difference quotient at zero, namely 6. Hence the slope of the graph of the squaring function at the point (3, 9) is 6, and so its derivative at x = 3 is ƒ '(3) = 6.

Posted

Ok, I honestly haven't understood some of what you've just said; but you seem to know what you're talking about, so I'll concede on this one. *bows to the Vampire Maths Emperess*

This is fun! Give me another question! :D

Posted

Hoo, yeah "I'm on a Boat" by Lonely Island is daaaaa best. i really wanna quote but pg13 tells me otherwise but still i think it is a pg13 song anyway. have you heard 13 year olds these days??

Also, "like a boss" both my favourites.

have you also heard?: ahhmm :-[

-**** in a box

-who said we're wack

-**** in my pants

 

lonely island is coolio

Posted

First what is arcsin?

 

Do you know the trig ratio sine? Well when graphing it, the equation looks like this: [y = sin x]. But create the inverse of this and you get: [x = sin y]. But this is difficult to work with so we re-arrange again to get [y = arcsin x]. You see [x = sin y] = [y = arcsin x].

 

It's differentiable is:

          1            __

(SQRT[1 - x^2] )

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.

Guest
Unfortunately, your content contains terms that we do not allow. Please edit your content to remove the highlighted words below.
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.


×
×
  • Create New...