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:P 8)

x^2*arcsinx differentiates into 2x*arcsin

I know x^2 differentiates into 2x, but I've never come across differentiating arcsinx,yet, so I took a guess. :D

I'll give you a question: Find the sum to infinity of the following series

5+2.5+1.25+0.625+...

Feel free to ask me another question.

And sorry Anox. I meant to write 10001 not 1001.

Oh yeah, I forgot you have to multiply the two terms together before differentiating. I'll hold my hands up and say that I've never come across arcsin, so this is my best attempt.:

x^2*arcsinx = arcsinx^3; which differentiates into = 3arcsinx^2

Is this correct? If not then tell me how to do it, so then I learn something new! :D 

Bloody hell... You haven't had calc yet? :P

 

Who? Me? Ummm...I've had High School algebra 1. That's it in math. That other dude is almost certainly, much better at math than I am.

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! ;)

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 :)

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.

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