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#1 2014-06-18 23:56:32

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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How to differentiate this?

How do I do this?

Last edited by Agnishom (2014-06-18 23:57:03)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
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#2 2014-06-19 00:29:27

zetafunc
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Registered: 2014-05-21
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Re: How to differentiate this?

How else can you write x^x?

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#3 2014-06-19 00:30:16

Bob
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Registered: 2010-06-20
Posts: 10,143

Re: How to differentiate this?

If you put

and then take logs on both sides, you can differentiate with respect to x.

hint:

Then re-arrange.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#4 2014-06-19 00:32:37

Bob
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Registered: 2010-06-20
Posts: 10,143

Re: How to differentiate this?

hi zetafunc,

You just got in ahead of me.  Did you mean

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#5 2014-06-19 00:56:02

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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Re: How to differentiate this?

zetafunc wrote:

How else can you write x^x?

I do not know.

Bob, I cannot differentiate the LHS because I do not know what the derivative of y w.r.t x is


'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'
I'm not crazy, my mother had me tested.

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#6 2014-06-19 00:56:58

anonimnystefy
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From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: How to differentiate this?

You just write the LHS as y'/y.


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#7 2014-06-19 02:53:44

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
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Re: How to differentiate this?

I get it now. thanks all!


'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'
I'm not crazy, my mother had me tested.

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