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#1 2013-04-09 01:56:25

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,873
Website

Differentiation

How do you differentiate the following:


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#2 2013-04-09 02:27:30

zetafunc.
Guest

Re: Differentiation

Lots of ways to approach that one -- what have you tried?

#3 2013-04-09 02:34:43

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,873
Website

Re: Differentiation

I am a complete beginner


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#4 2013-04-09 02:52:30

noelevans
Member
Registered: 2012-07-20
Posts: 236

Re: Differentiation

Try: Quotient Formula:  D(f/g) = (g*Df - f*Dg)/(g²) where  f(x)=sqrt(1-x²)^(½) and g(x) = 1-x

Also for the 1/2 power:  D[f]^n = n*[f]^(n-1) * Df. 

I hope this helps. smile


Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).
LaTex is like painting on many strips of paper and then stacking them to see what picture they make.

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#5 2013-04-09 04:10:46

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,873
Website

Re: Differentiation

Hm
I guess I have to differentiate things one by one.

I figured it out but its quite boring


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#6 2013-04-09 04:14:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Differentiation

What did you get?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#7 2013-04-09 04:22:28

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,873
Website

Re: Differentiation

I didn't. I just found how to do it.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#8 2013-04-09 04:30:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Differentiation

Okay, it will be tedious at first but easier later. Post if you get stuck.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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